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Finding the Fourth Proportional to 149,082.78, 223,631.37 and 43,902.78

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Solution

The fourth proportional to 149,082.78, 223,631.37 and 43,902.78 is: 65,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,082.78 : 223,631.37 = 43,902.78 : x
  2. Step 2: Convert to fraction form
    149,082.78/223,631.37 = 43,902.78/x
  3. Step 3: Cross multiply
    149,082.78x = 223,631.37 × 43,902.78
  4. Step 4: Simplify right side
    149,082.78x = 9,818,038,838.21
  5. Step 5: Solve for x
    x = 9,818,038,838.21/149,082.78
  6. Step 6: Final answer
    x = 65,856.29

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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.