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Finding the Fourth Proportional to 187,583.76, 258,865.47 and 102,700.80

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Solution

The fourth proportional to 187,583.76, 258,865.47 and 102,700.80 is: 141,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,583.76 : 258,865.47 = 102,700.80 : x
  2. Step 2: Convert to fraction form
    187,583.76/258,865.47 = 102,700.80/x
  3. Step 3: Cross multiply
    187,583.76x = 258,865.47 × 102,700.80
  4. Step 4: Simplify right side
    187,583.76x = 26,585,690,861.38
  5. Step 5: Solve for x
    x = 26,585,690,861.38/187,583.76
  6. Step 6: Final answer
    x = 141,727.04

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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.