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Finding the Fourth Proportional to 282,524.48, 423,786.32 and 72,162.48

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Solution

The fourth proportional to 282,524.48, 423,786.32 and 72,162.48 is: 108,243.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,524.48 : 423,786.32 = 72,162.48 : x
  2. Step 2: Convert to fraction form
    282,524.48/423,786.32 = 72,162.48/x
  3. Step 3: Cross multiply
    282,524.48x = 423,786.32 × 72,162.48
  4. Step 4: Simplify right side
    282,524.48x = 30,581,471,841.27
  5. Step 5: Solve for x
    x = 30,581,471,841.27/282,524.48
  6. Step 6: Final answer
    x = 108,243.62

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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.