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Finding the Fourth Proportional to 141,098.92, 194,685.71 and 83,757.15

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Solution

The fourth proportional to 141,098.92, 194,685.71 and 83,757.15 is: 115,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,098.92 : 194,685.71 = 83,757.15 : x
  2. Step 2: Convert to fraction form
    141,098.92/194,685.71 = 83,757.15/x
  3. Step 3: Cross multiply
    141,098.92x = 194,685.71 × 83,757.15
  4. Step 4: Simplify right side
    141,098.92x = 16,306,319,662.81
  5. Step 5: Solve for x
    x = 16,306,319,662.81/141,098.92
  6. Step 6: Final answer
    x = 115,566.58

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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.