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Finding the Fourth Proportional to 131,813.38, 197,753.79 and 38,319.13

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Solution

The fourth proportional to 131,813.38, 197,753.79 and 38,319.13 is: 57,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,813.38 : 197,753.79 = 38,319.13 : x
  2. Step 2: Convert to fraction form
    131,813.38/197,753.79 = 38,319.13/x
  3. Step 3: Cross multiply
    131,813.38x = 197,753.79 × 38,319.13
  4. Step 4: Simplify right side
    131,813.38x = 7,577,753,187.00
  5. Step 5: Solve for x
    x = 7,577,753,187.00/131,813.38
  6. Step 6: Final answer
    x = 57,488.50

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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.