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Finding the Fourth Proportional to 187,157.97, 280,695.69 and 54,009.30

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Solution

The fourth proportional to 187,157.97, 280,695.69 and 54,009.30 is: 81,002.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,157.97 : 280,695.69 = 54,009.30 : x
  2. Step 2: Convert to fraction form
    187,157.97/280,695.69 = 54,009.30/x
  3. Step 3: Cross multiply
    187,157.97x = 280,695.69 × 54,009.30
  4. Step 4: Simplify right side
    187,157.97x = 15,160,177,729.92
  5. Step 5: Solve for x
    x = 15,160,177,729.92/187,157.97
  6. Step 6: Final answer
    x = 81,002.04

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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.