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Finding the Fourth Proportional to 159,782.79, 220,469.52 and 96,124.68

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Solution

The fourth proportional to 159,782.79, 220,469.52 and 96,124.68 is: 132,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,782.79 : 220,469.52 = 96,124.68 : x
  2. Step 2: Convert to fraction form
    159,782.79/220,469.52 = 96,124.68/x
  3. Step 3: Cross multiply
    159,782.79x = 220,469.52 × 96,124.68
  4. Step 4: Simplify right side
    159,782.79x = 21,192,562,059.75
  5. Step 5: Solve for x
    x = 21,192,562,059.75/159,782.79
  6. Step 6: Final answer
    x = 132,633.57

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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.