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Finding the Fourth Proportional to 99,202.86, 148,648.74 and 84,350.70

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Solution

The fourth proportional to 99,202.86, 148,648.74 and 84,350.70 is: 126,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,202.86 : 148,648.74 = 84,350.70 : x
  2. Step 2: Convert to fraction form
    99,202.86/148,648.74 = 84,350.70/x
  3. Step 3: Cross multiply
    99,202.86x = 148,648.74 × 84,350.70
  4. Step 4: Simplify right side
    99,202.86x = 12,538,625,273.12
  5. Step 5: Solve for x
    x = 12,538,625,273.12/99,202.86
  6. Step 6: Final answer
    x = 126,393.79

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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.