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Finding the Fourth Proportional to 122,977.44, 169,712.28 and 75,229.92

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Solution

The fourth proportional to 122,977.44, 169,712.28 and 75,229.92 is: 103,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,977.44 : 169,712.28 = 75,229.92 : x
  2. Step 2: Convert to fraction form
    122,977.44/169,712.28 = 75,229.92/x
  3. Step 3: Cross multiply
    122,977.44x = 169,712.28 × 75,229.92
  4. Step 4: Simplify right side
    122,977.44x = 12,767,441,247.42
  5. Step 5: Solve for x
    x = 12,767,441,247.42/122,977.44
  6. Step 6: Final answer
    x = 103,819.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.