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Finding the Fourth Proportional to 162,092.88, 242,934.80 and 82,150.95

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Solution

The fourth proportional to 162,092.88, 242,934.80 and 82,150.95 is: 123,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,092.88 : 242,934.80 = 82,150.95 : x
  2. Step 2: Convert to fraction form
    162,092.88/242,934.80 = 82,150.95/x
  3. Step 3: Cross multiply
    162,092.88x = 242,934.80 × 82,150.95
  4. Step 4: Simplify right side
    162,092.88x = 19,957,324,197.31
  5. Step 5: Solve for x
    x = 19,957,324,197.31/162,092.88
  6. Step 6: Final answer
    x = 123,122.77

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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.