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Finding the Fourth Proportional to 287,175.72, 396,315.54 and 159,859.38

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Solution

The fourth proportional to 287,175.72, 396,315.54 and 159,859.38 is: 220,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,175.72 : 396,315.54 = 159,859.38 : x
  2. Step 2: Convert to fraction form
    287,175.72/396,315.54 = 159,859.38/x
  3. Step 3: Cross multiply
    287,175.72x = 396,315.54 × 159,859.38
  4. Step 4: Simplify right side
    287,175.72x = 63,354,756,508.77
  5. Step 5: Solve for x
    x = 63,354,756,508.77/287,175.72
  6. Step 6: Final answer
    x = 220,613.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.