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Finding the Fourth Proportional to 238,264.38, 357,544.13 and 138,471.57

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Solution

The fourth proportional to 238,264.38, 357,544.13 and 138,471.57 is: 207,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,264.38 : 357,544.13 = 138,471.57 : x
  2. Step 2: Convert to fraction form
    238,264.38/357,544.13 = 138,471.57/x
  3. Step 3: Cross multiply
    238,264.38x = 357,544.13 × 138,471.57
  4. Step 4: Simplify right side
    238,264.38x = 49,509,696,333.03
  5. Step 5: Solve for x
    x = 49,509,696,333.03/238,264.38
  6. Step 6: Final answer
    x = 207,793.11

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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.