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Finding the Fourth Proportional to 187,167.87, 280,668.42 and 54,016.50

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Solution

The fourth proportional to 187,167.87, 280,668.42 and 54,016.50 is: 81,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,167.87 : 280,668.42 = 54,016.50 : x
  2. Step 2: Convert to fraction form
    187,167.87/280,668.42 = 54,016.50/x
  3. Step 3: Cross multiply
    187,167.87x = 280,668.42 × 54,016.50
  4. Step 4: Simplify right side
    187,167.87x = 15,160,725,708.93
  5. Step 5: Solve for x
    x = 15,160,725,708.93/187,167.87
  6. Step 6: Final answer
    x = 81,000.69

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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.