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Finding the Fourth Proportional to 187,043.14, 258,120.87 and 102,160.18

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Solution

The fourth proportional to 187,043.14, 258,120.87 and 102,160.18 is: 140,981.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,043.14 : 258,120.87 = 102,160.18 : x
  2. Step 2: Convert to fraction form
    187,043.14/258,120.87 = 102,160.18/x
  3. Step 3: Cross multiply
    187,043.14x = 258,120.87 × 102,160.18
  4. Step 4: Simplify right side
    187,043.14x = 26,369,674,540.96
  5. Step 5: Solve for x
    x = 26,369,674,540.96/187,043.14
  6. Step 6: Final answer
    x = 140,981.78

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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.