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Finding the Fourth Proportional to 99,773.20, 149,659.80 and 86,942.80

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Solution

The fourth proportional to 99,773.20, 149,659.80 and 86,942.80 is: 130,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,773.20 : 149,659.80 = 86,942.80 : x
  2. Step 2: Convert to fraction form
    99,773.20/149,659.80 = 86,942.80/x
  3. Step 3: Cross multiply
    99,773.20x = 149,659.80 × 86,942.80
  4. Step 4: Simplify right side
    99,773.20x = 13,011,842,059.44
  5. Step 5: Solve for x
    x = 13,011,842,059.44/99,773.20
  6. Step 6: Final answer
    x = 130,414.20

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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.