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Finding the Fourth Proportional to 102,366.57, 153,456.30 and 86,672.72

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Solution

The fourth proportional to 102,366.57, 153,456.30 and 86,672.72 is: 129,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,366.57 : 153,456.30 = 86,672.72 : x
  2. Step 2: Convert to fraction form
    102,366.57/153,456.30 = 86,672.72/x
  3. Step 3: Cross multiply
    102,366.57x = 153,456.30 × 86,672.72
  4. Step 4: Simplify right side
    102,366.57x = 13,300,474,922.14
  5. Step 5: Solve for x
    x = 13,300,474,922.14/102,366.57
  6. Step 6: Final answer
    x = 129,929.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.