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Finding the Fourth Proportional to 137,857.29, 190,229.63 and 77,414.19

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Solution

The fourth proportional to 137,857.29, 190,229.63 and 77,414.19 is: 106,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,857.29 : 190,229.63 = 77,414.19 : x
  2. Step 2: Convert to fraction form
    137,857.29/190,229.63 = 77,414.19/x
  3. Step 3: Cross multiply
    137,857.29x = 190,229.63 × 77,414.19
  4. Step 4: Simplify right side
    137,857.29x = 14,726,472,333.38
  5. Step 5: Solve for x
    x = 14,726,472,333.38/137,857.29
  6. Step 6: Final answer
    x = 106,824.04

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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.