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Finding the Fourth Proportional to 159,403.52, 219,966.72 and 95,744

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Solution

The fourth proportional to 159,403.52, 219,966.72 and 95,744 is: 132,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,403.52 : 219,966.72 = 95,744 : x
  2. Step 2: Convert to fraction form
    159,403.52/219,966.72 = 95,744/x
  3. Step 3: Cross multiply
    159,403.52x = 219,966.72 × 95,744
  4. Step 4: Simplify right side
    159,403.52x = 21,060,493,639.68
  5. Step 5: Solve for x
    x = 21,060,493,639.68/159,403.52
  6. Step 6: Final answer
    x = 132,120.63

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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.