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Finding the Fourth Proportional to 138,747.38, 191,471.39 and 75,085.17

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Solution

The fourth proportional to 138,747.38, 191,471.39 and 75,085.17 is: 103,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,747.38 : 191,471.39 = 75,085.17 : x
  2. Step 2: Convert to fraction form
    138,747.38/191,471.39 = 75,085.17/x
  3. Step 3: Cross multiply
    138,747.38x = 191,471.39 × 75,085.17
  4. Step 4: Simplify right side
    138,747.38x = 14,376,661,492.86
  5. Step 5: Solve for x
    x = 14,376,661,492.86/138,747.38
  6. Step 6: Final answer
    x = 103,617.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.