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Finding the Fourth Proportional to 287,630.80, 431,575.80 and 137,813.20

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Solution

The fourth proportional to 287,630.80, 431,575.80 and 137,813.20 is: 206,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,630.80 : 431,575.80 = 137,813.20 : x
  2. Step 2: Convert to fraction form
    287,630.80/431,575.80 = 137,813.20/x
  3. Step 3: Cross multiply
    287,630.80x = 431,575.80 × 137,813.20
  4. Step 4: Simplify right side
    287,630.80x = 59,476,842,040.56
  5. Step 5: Solve for x
    x = 59,476,842,040.56/287,630.80
  6. Step 6: Final answer
    x = 206,781.90

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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.