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Finding the Fourth Proportional to 223,037.80, 307,652.16 and 132,329.56

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Solution

The fourth proportional to 223,037.80, 307,652.16 and 132,329.56 is: 182,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,037.80 : 307,652.16 = 132,329.56 : x
  2. Step 2: Convert to fraction form
    223,037.80/307,652.16 = 132,329.56/x
  3. Step 3: Cross multiply
    223,037.80x = 307,652.16 × 132,329.56
  4. Step 4: Simplify right side
    223,037.80x = 40,711,474,965.85
  5. Step 5: Solve for x
    x = 40,711,474,965.85/223,037.80
  6. Step 6: Final answer
    x = 182,531.73

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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.