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Finding the Fourth Proportional to 204,901.38, 307,387.31 and 62,743.14

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Solution

The fourth proportional to 204,901.38, 307,387.31 and 62,743.14 is: 94,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,901.38 : 307,387.31 = 62,743.14 : x
  2. Step 2: Convert to fraction form
    204,901.38/307,387.31 = 62,743.14/x
  3. Step 3: Cross multiply
    204,901.38x = 307,387.31 × 62,743.14
  4. Step 4: Simplify right side
    204,901.38x = 19,286,444,711.84
  5. Step 5: Solve for x
    x = 19,286,444,711.84/204,901.38
  6. Step 6: Final answer
    x = 94,125.50

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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.