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Finding the Fourth Proportional to 187,029.30, 258,096.32 and 102,146.70

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Solution

The fourth proportional to 187,029.30, 258,096.32 and 102,146.70 is: 140,960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,029.30 : 258,096.32 = 102,146.70 : x
  2. Step 2: Convert to fraction form
    187,029.30/258,096.32 = 102,146.70/x
  3. Step 3: Cross multiply
    187,029.30x = 258,096.32 × 102,146.70
  4. Step 4: Simplify right side
    187,029.30x = 26,363,687,370.14
  5. Step 5: Solve for x
    x = 26,363,687,370.14/187,029.30
  6. Step 6: Final answer
    x = 140,960.20

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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.