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Finding the Fourth Proportional to 257,082.98, 386,215.67 and 181,355.81

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Solution

The fourth proportional to 257,082.98, 386,215.67 and 181,355.81 is: 272,450.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,082.98 : 386,215.67 = 181,355.81 : x
  2. Step 2: Convert to fraction form
    257,082.98/386,215.67 = 181,355.81/x
  3. Step 3: Cross multiply
    257,082.98x = 386,215.67 × 181,355.81
  4. Step 4: Simplify right side
    257,082.98x = 70,042,454,189.85
  5. Step 5: Solve for x
    x = 70,042,454,189.85/257,082.98
  6. Step 6: Final answer
    x = 272,450.77

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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.