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Finding the Fourth Proportional to 102,367.14, 153,691.92 and 70,702.80

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Solution

The fourth proportional to 102,367.14, 153,691.92 and 70,702.80 is: 106,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,367.14 : 153,691.92 = 70,702.80 : x
  2. Step 2: Convert to fraction form
    102,367.14/153,691.92 = 70,702.80/x
  3. Step 3: Cross multiply
    102,367.14x = 153,691.92 × 70,702.80
  4. Step 4: Simplify right side
    102,367.14x = 10,866,449,081.38
  5. Step 5: Solve for x
    x = 10,866,449,081.38/102,367.14
  6. Step 6: Final answer
    x = 106,151.73

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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.