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Finding the Fourth Proportional to 162,092.35, 242,934 and 82,150.41

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Solution

The fourth proportional to 162,092.35, 242,934 and 82,150.41 is: 123,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,092.35 : 242,934 = 82,150.41 : x
  2. Step 2: Convert to fraction form
    162,092.35/242,934 = 82,150.41/x
  3. Step 3: Cross multiply
    162,092.35x = 242,934 × 82,150.41
  4. Step 4: Simplify right side
    162,092.35x = 19,957,127,702.94
  5. Step 5: Solve for x
    x = 19,957,127,702.94/162,092.35
  6. Step 6: Final answer
    x = 123,121.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.