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Finding the Fourth Proportional to 97,612.58, 146,418.84 and 84,425.78

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Solution

The fourth proportional to 97,612.58, 146,418.84 and 84,425.78 is: 126,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,612.58 : 146,418.84 = 84,425.78 : x
  2. Step 2: Convert to fraction form
    97,612.58/146,418.84 = 84,425.78/x
  3. Step 3: Cross multiply
    97,612.58x = 146,418.84 × 84,425.78
  4. Step 4: Simplify right side
    97,612.58x = 12,361,524,773.70
  5. Step 5: Solve for x
    x = 12,361,524,773.70/97,612.58
  6. Step 6: Final answer
    x = 126,638.64

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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.