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Finding the Fourth Proportional to 106,702.67, 160,377.96 and 71,289.65

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Solution

The fourth proportional to 106,702.67, 160,377.96 and 71,289.65 is: 107,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,702.67 : 160,377.96 = 71,289.65 : x
  2. Step 2: Convert to fraction form
    106,702.67/160,377.96 = 71,289.65/x
  3. Step 3: Cross multiply
    106,702.67x = 160,377.96 × 71,289.65
  4. Step 4: Simplify right side
    106,702.67x = 11,433,288,636.11
  5. Step 5: Solve for x
    x = 11,433,288,636.11/106,702.67
  6. Step 6: Final answer
    x = 107,150.91

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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.