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Finding the Fourth Proportional to 159,605.50, 220,256.25 and 87,983.95

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Solution

The fourth proportional to 159,605.50, 220,256.25 and 87,983.95 is: 121,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,605.50 : 220,256.25 = 87,983.95 : x
  2. Step 2: Convert to fraction form
    159,605.50/220,256.25 = 87,983.95/x
  3. Step 3: Cross multiply
    159,605.50x = 220,256.25 × 87,983.95
  4. Step 4: Simplify right side
    159,605.50x = 19,379,013,785.91
  5. Step 5: Solve for x
    x = 19,379,013,785.91/159,605.50
  6. Step 6: Final answer
    x = 121,418.21

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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.