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Finding the Fourth Proportional to 122,591.64, 169,205.70 and 74,885.16

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Solution

The fourth proportional to 122,591.64, 169,205.70 and 74,885.16 is: 103,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,591.64 : 169,205.70 = 74,885.16 : x
  2. Step 2: Convert to fraction form
    122,591.64/169,205.70 = 74,885.16/x
  3. Step 3: Cross multiply
    122,591.64x = 169,205.70 × 74,885.16
  4. Step 4: Simplify right side
    122,591.64x = 12,670,995,917.41
  5. Step 5: Solve for x
    x = 12,670,995,917.41/122,591.64
  6. Step 6: Final answer
    x = 103,359.38

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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.