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Finding the Fourth Proportional to 185,801.20, 278,701.80 and 156,932.80

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Solution

The fourth proportional to 185,801.20, 278,701.80 and 156,932.80 is: 235,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,801.20 : 278,701.80 = 156,932.80 : x
  2. Step 2: Convert to fraction form
    185,801.20/278,701.80 = 156,932.80/x
  3. Step 3: Cross multiply
    185,801.20x = 278,701.80 × 156,932.80
  4. Step 4: Simplify right side
    185,801.20x = 43,737,453,839.04
  5. Step 5: Solve for x
    x = 43,737,453,839.04/185,801.20
  6. Step 6: Final answer
    x = 235,399.20

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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.