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Finding the Fourth Proportional to 99,077.64, 148,822.02 and 80,123.64

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Solution

The fourth proportional to 99,077.64, 148,822.02 and 80,123.64 is: 120,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,077.64 : 148,822.02 = 80,123.64 : x
  2. Step 2: Convert to fraction form
    99,077.64/148,822.02 = 80,123.64/x
  3. Step 3: Cross multiply
    99,077.64x = 148,822.02 × 80,123.64
  4. Step 4: Simplify right side
    99,077.64x = 11,924,161,954.55
  5. Step 5: Solve for x
    x = 11,924,161,954.55/99,077.64
  6. Step 6: Final answer
    x = 120,351.70

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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.