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Finding the Fourth Proportional to 100,822.57, 151,267.89 and 44,654.95

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Solution

The fourth proportional to 100,822.57, 151,267.89 and 44,654.95 is: 66,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,822.57 : 151,267.89 = 44,654.95 : x
  2. Step 2: Convert to fraction form
    100,822.57/151,267.89 = 44,654.95/x
  3. Step 3: Cross multiply
    100,822.57x = 151,267.89 × 44,654.95
  4. Step 4: Simplify right side
    100,822.57x = 6,754,860,064.56
  5. Step 5: Solve for x
    x = 6,754,860,064.56/100,822.57
  6. Step 6: Final answer
    x = 66,997.50

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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.