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Finding the Fourth Proportional to 106,337.56, 146,742.28 and 58,591.70

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Solution

The fourth proportional to 106,337.56, 146,742.28 and 58,591.70 is: 80,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,337.56 : 146,742.28 = 58,591.70 : x
  2. Step 2: Convert to fraction form
    106,337.56/146,742.28 = 58,591.70/x
  3. Step 3: Cross multiply
    106,337.56x = 146,742.28 × 58,591.70
  4. Step 4: Simplify right side
    106,337.56x = 8,597,879,647.08
  5. Step 5: Solve for x
    x = 8,597,879,647.08/106,337.56
  6. Step 6: Final answer
    x = 80,854.59

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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.