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Finding the Fourth Proportional to 102,211.65, 141,056.18 and 56,891.55

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Solution

The fourth proportional to 102,211.65, 141,056.18 and 56,891.55 is: 78,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,211.65 : 141,056.18 = 56,891.55 : x
  2. Step 2: Convert to fraction form
    102,211.65/141,056.18 = 56,891.55/x
  3. Step 3: Cross multiply
    102,211.65x = 141,056.18 × 56,891.55
  4. Step 4: Simplify right side
    102,211.65x = 8,024,904,432.82
  5. Step 5: Solve for x
    x = 8,024,904,432.82/102,211.65
  6. Step 6: Final answer
    x = 78,512.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.