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Finding the Fourth Proportional to 187,654.56, 281,432.56 and 54,499.04

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Solution

The fourth proportional to 187,654.56, 281,432.56 and 54,499.04 is: 81,734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,654.56 : 281,432.56 = 54,499.04 : x
  2. Step 2: Convert to fraction form
    187,654.56/281,432.56 = 54,499.04/x
  3. Step 3: Cross multiply
    187,654.56x = 281,432.56 × 54,499.04
  4. Step 4: Simplify right side
    187,654.56x = 15,337,804,344.74
  5. Step 5: Solve for x
    x = 15,337,804,344.74/187,654.56
  6. Step 6: Final answer
    x = 81,734.25

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Why These Related Problems?

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