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Finding the Fourth Proportional to 201,264,727.40, 301,737,658.80 and 110,388,316.40

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Solution

The fourth proportional to 201,264,727.40, 301,737,658.80 and 110,388,316.40 is: 165,495,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,264,727.40 : 301,737,658.80 = 110,388,316.40 : x
  2. Step 2: Convert to fraction form
    201,264,727.40/301,737,658.80 = 110,388,316.40/x
  3. Step 3: Cross multiply
    201,264,727.40x = 301,737,658.80 × 110,388,316.40
  4. Step 4: Simplify right side
    201,264,727.40x = 33,308,312,149,409,648
  5. Step 5: Solve for x
    x = 33,308,312,149,409,648/201,264,727.40
  6. Step 6: Final answer
    x = 165,495,030.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.