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Finding the Fourth Proportional to 192,510.92, 288,727.50 and 52,270.76

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Solution

The fourth proportional to 192,510.92, 288,727.50 and 52,270.76 is: 78,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,510.92 : 288,727.50 = 52,270.76 : x
  2. Step 2: Convert to fraction form
    192,510.92/288,727.50 = 52,270.76/x
  3. Step 3: Cross multiply
    192,510.92x = 288,727.50 × 52,270.76
  4. Step 4: Simplify right side
    192,510.92x = 15,092,005,857.90
  5. Step 5: Solve for x
    x = 15,092,005,857.90/192,510.92
  6. Step 6: Final answer
    x = 78,395.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.