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Finding the Fourth Proportional to 102,376.91, 141,276.72 and 59,357.20

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Solution

The fourth proportional to 102,376.91, 141,276.72 and 59,357.20 is: 81,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,376.91 : 141,276.72 = 59,357.20 : x
  2. Step 2: Convert to fraction form
    102,376.91/141,276.72 = 59,357.20/x
  3. Step 3: Cross multiply
    102,376.91x = 141,276.72 × 59,357.20
  4. Step 4: Simplify right side
    102,376.91x = 8,385,790,524.38
  5. Step 5: Solve for x
    x = 8,385,790,524.38/102,376.91
  6. Step 6: Final answer
    x = 81,910.96

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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.