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Finding the Fourth Proportional to 192,339.92, 288,510.96 and 52,099.76

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Solution

The fourth proportional to 192,339.92, 288,510.96 and 52,099.76 is: 78,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,339.92 : 288,510.96 = 52,099.76 : x
  2. Step 2: Convert to fraction form
    192,339.92/288,510.96 = 52,099.76/x
  3. Step 3: Cross multiply
    192,339.92x = 288,510.96 × 52,099.76
  4. Step 4: Simplify right side
    192,339.92x = 15,031,351,773.37
  5. Step 5: Solve for x
    x = 15,031,351,773.37/192,339.92
  6. Step 6: Final answer
    x = 78,149.93

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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.