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Finding the Fourth Proportional to 122,892.56, 169,604.48 and 75,177.66

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Solution

The fourth proportional to 122,892.56, 169,604.48 and 75,177.66 is: 103,752.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,892.56 : 169,604.48 = 75,177.66 : x
  2. Step 2: Convert to fraction form
    122,892.56/169,604.48 = 75,177.66/x
  3. Step 3: Cross multiply
    122,892.56x = 169,604.48 × 75,177.66
  4. Step 4: Simplify right side
    122,892.56x = 12,750,467,931.92
  5. Step 5: Solve for x
    x = 12,750,467,931.92/122,892.56
  6. Step 6: Final answer
    x = 103,752.97

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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.