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Finding the Fourth Proportional to 159,774.56, 239,667.96 and 41,442.80

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Solution

The fourth proportional to 159,774.56, 239,667.96 and 41,442.80 is: 62,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,774.56 : 239,667.96 = 41,442.80 : x
  2. Step 2: Convert to fraction form
    159,774.56/239,667.96 = 41,442.80/x
  3. Step 3: Cross multiply
    159,774.56x = 239,667.96 × 41,442.80
  4. Step 4: Simplify right side
    159,774.56x = 9,932,511,332.69
  5. Step 5: Solve for x
    x = 9,932,511,332.69/159,774.56
  6. Step 6: Final answer
    x = 62,165.79

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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.