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Finding the Fourth Proportional to 218,499.52, 301,458.94 and 132,493

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Solution

The fourth proportional to 218,499.52, 301,458.94 and 132,493 is: 182,797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,499.52 : 301,458.94 = 132,493 : x
  2. Step 2: Convert to fraction form
    218,499.52/301,458.94 = 132,493/x
  3. Step 3: Cross multiply
    218,499.52x = 301,458.94 × 132,493
  4. Step 4: Simplify right side
    218,499.52x = 39,941,199,337.42
  5. Step 5: Solve for x
    x = 39,941,199,337.42/218,499.52
  6. Step 6: Final answer
    x = 182,797.65

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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.