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Finding the Fourth Proportional to 187,049.14, 258,129.16 and 102,166.18

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Solution

The fourth proportional to 187,049.14, 258,129.16 and 102,166.18 is: 140,990.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,049.14 : 258,129.16 = 102,166.18 : x
  2. Step 2: Convert to fraction form
    187,049.14/258,129.16 = 102,166.18/x
  3. Step 3: Cross multiply
    187,049.14x = 258,129.16 × 102,166.18
  4. Step 4: Simplify right side
    187,049.14x = 26,372,070,223.81
  5. Step 5: Solve for x
    x = 26,372,070,223.81/187,049.14
  6. Step 6: Final answer
    x = 140,990.06

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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.