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Finding the Fourth Proportional to 159,446.52, 220,028.10 and 87,825

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Solution

The fourth proportional to 159,446.52, 220,028.10 and 87,825 is: 121,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,446.52 : 220,028.10 = 87,825 : x
  2. Step 2: Convert to fraction form
    159,446.52/220,028.10 = 87,825/x
  3. Step 3: Cross multiply
    159,446.52x = 220,028.10 × 87,825
  4. Step 4: Simplify right side
    159,446.52x = 19,323,967,882.50
  5. Step 5: Solve for x
    x = 19,323,967,882.50/159,446.52
  6. Step 6: Final answer
    x = 121,194.04

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1.5x scale

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.