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Finding the Fourth Proportional to 201,069.96, 301,602.87 and 51,308.64

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Solution

The fourth proportional to 201,069.96, 301,602.87 and 51,308.64 is: 76,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,069.96 : 301,602.87 = 51,308.64 : x
  2. Step 2: Convert to fraction form
    201,069.96/301,602.87 = 51,308.64/x
  3. Step 3: Cross multiply
    201,069.96x = 301,602.87 × 51,308.64
  4. Step 4: Simplify right side
    201,069.96x = 15,474,833,079.80
  5. Step 5: Solve for x
    x = 15,474,833,079.80/201,069.96
  6. Step 6: Final answer
    x = 76,962.43

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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.