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Finding the Fourth Proportional to 203,209.60, 304,814.40 and 132,350.80

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Solution

The fourth proportional to 203,209.60, 304,814.40 and 132,350.80 is: 198,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,209.60 : 304,814.40 = 132,350.80 : x
  2. Step 2: Convert to fraction form
    203,209.60/304,814.40 = 132,350.80/x
  3. Step 3: Cross multiply
    203,209.60x = 304,814.40 × 132,350.80
  4. Step 4: Simplify right side
    203,209.60x = 40,342,429,691.52
  5. Step 5: Solve for x
    x = 40,342,429,691.52/203,209.60
  6. Step 6: Final answer
    x = 198,526.20

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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.