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Finding the Fourth Proportional to 106,478.65, 159,610.13 and 69,062.49

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Solution

The fourth proportional to 106,478.65, 159,610.13 and 69,062.49 is: 103,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478.65 : 159,610.13 = 69,062.49 : x
  2. Step 2: Convert to fraction form
    106,478.65/159,610.13 = 69,062.49/x
  3. Step 3: Cross multiply
    106,478.65x = 159,610.13 × 69,062.49
  4. Step 4: Simplify right side
    106,478.65x = 11,023,072,920.70
  5. Step 5: Solve for x
    x = 11,023,072,920.70/106,478.65
  6. Step 6: Final answer
    x = 103,523.78

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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.