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Finding the Fourth Proportional to 537,115.86, 805,613.58 and 137,765.97

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Solution

The fourth proportional to 537,115.86, 805,613.58 and 137,765.97 is: 206,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,115.86 : 805,613.58 = 137,765.97 : x
  2. Step 2: Convert to fraction form
    537,115.86/805,613.58 = 137,765.97/x
  3. Step 3: Cross multiply
    537,115.86x = 805,613.58 × 137,765.97
  4. Step 4: Simplify right side
    537,115.86x = 110,986,136,293.87
  5. Step 5: Solve for x
    x = 110,986,136,293.87/537,115.86
  6. Step 6: Final answer
    x = 206,633.51

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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.