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Finding the Fourth Proportional to 287,714.80, 431,701.80 and 137,897.20

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Solution

The fourth proportional to 287,714.80, 431,701.80 and 137,897.20 is: 206,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,714.80 : 431,701.80 = 137,897.20 : x
  2. Step 2: Convert to fraction form
    287,714.80/431,701.80 = 137,897.20/x
  3. Step 3: Cross multiply
    287,714.80x = 431,701.80 × 137,897.20
  4. Step 4: Simplify right side
    287,714.80x = 59,530,469,454.96
  5. Step 5: Solve for x
    x = 59,530,469,454.96/287,714.80
  6. Step 6: Final answer
    x = 206,907.92

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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.