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Finding the Fourth Proportional to 106,700.67, 160,374.96 and 71,287.65

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Solution

The fourth proportional to 106,700.67, 160,374.96 and 71,287.65 is: 107,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,700.67 : 160,374.96 = 71,287.65 : x
  2. Step 2: Convert to fraction form
    106,700.67/160,374.96 = 71,287.65/x
  3. Step 3: Cross multiply
    106,700.67x = 160,374.96 × 71,287.65
  4. Step 4: Simplify right side
    106,700.67x = 11,432,754,017.24
  5. Step 5: Solve for x
    x = 11,432,754,017.24/106,700.67
  6. Step 6: Final answer
    x = 107,147.91

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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.