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Finding the Fourth Proportional to 106,151.92, 159,266.18 and 53,521.76

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Solution

The fourth proportional to 106,151.92, 159,266.18 and 53,521.76 is: 80,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,151.92 : 159,266.18 = 53,521.76 : x
  2. Step 2: Convert to fraction form
    106,151.92/159,266.18 = 53,521.76/x
  3. Step 3: Cross multiply
    106,151.92x = 159,266.18 × 53,521.76
  4. Step 4: Simplify right side
    106,151.92x = 8,524,206,794.05
  5. Step 5: Solve for x
    x = 8,524,206,794.05/106,151.92
  6. Step 6: Final answer
    x = 80,301.96

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1.5x scale

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.