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Finding the Fourth Proportional to 159,581.82, 239,380.94 and 41,254.19

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Solution

The fourth proportional to 159,581.82, 239,380.94 and 41,254.19 is: 61,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,581.82 : 239,380.94 = 41,254.19 : x
  2. Step 2: Convert to fraction form
    159,581.82/239,380.94 = 41,254.19/x
  3. Step 3: Cross multiply
    159,581.82x = 239,380.94 × 41,254.19
  4. Step 4: Simplify right side
    159,581.82x = 9,875,466,781.14
  5. Step 5: Solve for x
    x = 9,875,466,781.14/159,581.82
  6. Step 6: Final answer
    x = 61,883.41

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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.