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Finding the Fourth Proportional to 187,797.28, 281,695.84 and 45,641.80

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Solution

The fourth proportional to 187,797.28, 281,695.84 and 45,641.80 is: 68,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,797.28 : 281,695.84 = 45,641.80 : x
  2. Step 2: Convert to fraction form
    187,797.28/281,695.84 = 45,641.80/x
  3. Step 3: Cross multiply
    187,797.28x = 281,695.84 × 45,641.80
  4. Step 4: Simplify right side
    187,797.28x = 12,857,105,190.11
  5. Step 5: Solve for x
    x = 12,857,105,190.11/187,797.28
  6. Step 6: Final answer
    x = 68,462.68

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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.