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Finding the Fourth Proportional to 287,729.80, 431,724.30 and 137,912.20

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Solution

The fourth proportional to 287,729.80, 431,724.30 and 137,912.20 is: 206,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,729.80 : 431,724.30 = 137,912.20 : x
  2. Step 2: Convert to fraction form
    287,729.80/431,724.30 = 137,912.20/x
  3. Step 3: Cross multiply
    287,729.80x = 431,724.30 × 137,912.20
  4. Step 4: Simplify right side
    287,729.80x = 59,540,048,006.46
  5. Step 5: Solve for x
    x = 59,540,048,006.46/287,729.80
  6. Step 6: Final answer
    x = 206,930.42

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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.