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Finding the Fourth Proportional to 117,565.47, 176,348.21 and 82,660.95

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Solution

The fourth proportional to 117,565.47, 176,348.21 and 82,660.95 is: 123,991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,565.47 : 176,348.21 = 82,660.95 : x
  2. Step 2: Convert to fraction form
    117,565.47/176,348.21 = 82,660.95/x
  3. Step 3: Cross multiply
    117,565.47x = 176,348.21 × 82,660.95
  4. Step 4: Simplify right side
    117,565.47x = 14,577,110,156.09
  5. Step 5: Solve for x
    x = 14,577,110,156.09/117,565.47
  6. Step 6: Final answer
    x = 123,991.43

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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.