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Finding the Fourth Proportional to 418,066.96, 627,266.48 and 133,801.12

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Solution

The fourth proportional to 418,066.96, 627,266.48 and 133,801.12 is: 200,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,066.96 : 627,266.48 = 133,801.12 : x
  2. Step 2: Convert to fraction form
    418,066.96/627,266.48 = 133,801.12/x
  3. Step 3: Cross multiply
    418,066.96x = 627,266.48 × 133,801.12
  4. Step 4: Simplify right side
    418,066.96x = 83,928,957,562.46
  5. Step 5: Solve for x
    x = 83,928,957,562.46/418,066.96
  6. Step 6: Final answer
    x = 200,754.82

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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.