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Finding the Fourth Proportional to 201,438.80, 301,812.60 and 96,030.80

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Solution

The fourth proportional to 201,438.80, 301,812.60 and 96,030.80 is: 143,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,438.80 : 301,812.60 = 96,030.80 : x
  2. Step 2: Convert to fraction form
    201,438.80/301,812.60 = 96,030.80/x
  3. Step 3: Cross multiply
    201,438.80x = 301,812.60 × 96,030.80
  4. Step 4: Simplify right side
    201,438.80x = 28,983,305,428.08
  5. Step 5: Solve for x
    x = 28,983,305,428.08/201,438.80
  6. Step 6: Final answer
    x = 143,881.44

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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.