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Finding the Fourth Proportional to 159,805.96, 239,756.64 and 47,489.92

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Solution

The fourth proportional to 159,805.96, 239,756.64 and 47,489.92 is: 71,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,805.96 : 239,756.64 = 47,489.92 : x
  2. Step 2: Convert to fraction form
    159,805.96/239,756.64 = 47,489.92/x
  3. Step 3: Cross multiply
    159,805.96x = 239,756.64 × 47,489.92
  4. Step 4: Simplify right side
    159,805.96x = 11,386,023,653.07
  5. Step 5: Solve for x
    x = 11,386,023,653.07/159,805.96
  6. Step 6: Final answer
    x = 71,249.06

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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.