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Finding the Fourth Proportional to 99,082.63, 148,629.14 and 75,427.27

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Solution

The fourth proportional to 99,082.63, 148,629.14 and 75,427.27 is: 113,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,082.63 : 148,629.14 = 75,427.27 : x
  2. Step 2: Convert to fraction form
    99,082.63/148,629.14 = 75,427.27/x
  3. Step 3: Cross multiply
    99,082.63x = 148,629.14 × 75,427.27
  4. Step 4: Simplify right side
    99,082.63x = 11,210,690,231.07
  5. Step 5: Solve for x
    x = 11,210,690,231.07/99,082.63
  6. Step 6: Final answer
    x = 113,144.85

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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.