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Finding the Fourth Proportional to 129,411.96, 194,126.31 and 40,669.17

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Solution

The fourth proportional to 129,411.96, 194,126.31 and 40,669.17 is: 61,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,411.96 : 194,126.31 = 40,669.17 : x
  2. Step 2: Convert to fraction form
    129,411.96/194,126.31 = 40,669.17/x
  3. Step 3: Cross multiply
    129,411.96x = 194,126.31 × 40,669.17
  4. Step 4: Simplify right side
    129,411.96x = 7,894,955,902.86
  5. Step 5: Solve for x
    x = 7,894,955,902.86/129,411.96
  6. Step 6: Final answer
    x = 61,006.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.