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Finding the Fourth Proportional to 129,411.78, 194,117.66 and 59,291.09

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Solution

The fourth proportional to 129,411.78, 194,117.66 and 59,291.09 is: 88,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,411.78 : 194,117.66 = 59,291.09 : x
  2. Step 2: Convert to fraction form
    129,411.78/194,117.66 = 59,291.09/x
  3. Step 3: Cross multiply
    129,411.78x = 194,117.66 × 59,291.09
  4. Step 4: Simplify right side
    129,411.78x = 11,509,446,382.61
  5. Step 5: Solve for x
    x = 11,509,446,382.61/129,411.78
  6. Step 6: Final answer
    x = 88,936.62

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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.