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Finding the Fourth Proportional to 127,824.80, 191,737.20 and 115,383.20

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Solution

The fourth proportional to 127,824.80, 191,737.20 and 115,383.20 is: 173,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,824.80 : 191,737.20 = 115,383.20 : x
  2. Step 2: Convert to fraction form
    127,824.80/191,737.20 = 115,383.20/x
  3. Step 3: Cross multiply
    127,824.80x = 191,737.20 × 115,383.20
  4. Step 4: Simplify right side
    127,824.80x = 22,123,251,695.04
  5. Step 5: Solve for x
    x = 22,123,251,695.04/127,824.80
  6. Step 6: Final answer
    x = 173,074.80

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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.