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Finding the Fourth Proportional to 178,082.49, 245,760.45 and 101,614.03

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Solution

The fourth proportional to 178,082.49, 245,760.45 and 101,614.03 is: 140,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,082.49 : 245,760.45 = 101,614.03 : x
  2. Step 2: Convert to fraction form
    178,082.49/245,760.45 = 101,614.03/x
  3. Step 3: Cross multiply
    178,082.49x = 245,760.45 × 101,614.03
  4. Step 4: Simplify right side
    178,082.49x = 24,972,709,739.11
  5. Step 5: Solve for x
    x = 24,972,709,739.11/178,082.49
  6. Step 6: Final answer
    x = 140,231.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.