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Finding the Fourth Proportional to 187,231.80, 280,847.70 and 54,116.40

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Solution

The fourth proportional to 187,231.80, 280,847.70 and 54,116.40 is: 81,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,231.80 : 280,847.70 = 54,116.40 : x
  2. Step 2: Convert to fraction form
    187,231.80/280,847.70 = 54,116.40/x
  3. Step 3: Cross multiply
    187,231.80x = 280,847.70 × 54,116.40
  4. Step 4: Simplify right side
    187,231.80x = 15,198,466,472.28
  5. Step 5: Solve for x
    x = 15,198,466,472.28/187,231.80
  6. Step 6: Final answer
    x = 81,174.60

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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.