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Finding the Fourth Proportional to 287,773.65, 431,291.06 and 137,789.19

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Solution

The fourth proportional to 287,773.65, 431,291.06 and 137,789.19 is: 206,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,773.65 : 431,291.06 = 137,789.19 : x
  2. Step 2: Convert to fraction form
    287,773.65/431,291.06 = 137,789.19/x
  3. Step 3: Cross multiply
    287,773.65x = 431,291.06 × 137,789.19
  4. Step 4: Simplify right side
    287,773.65x = 59,427,245,811.64
  5. Step 5: Solve for x
    x = 59,427,245,811.64/287,773.65
  6. Step 6: Final answer
    x = 206,506.91

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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.