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Finding the Fourth Proportional to 250,756.80, 376,147.68 and 82,262.16

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Solution

The fourth proportional to 250,756.80, 376,147.68 and 82,262.16 is: 123,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,756.80 : 376,147.68 = 82,262.16 : x
  2. Step 2: Convert to fraction form
    250,756.80/376,147.68 = 82,262.16/x
  3. Step 3: Cross multiply
    250,756.80x = 376,147.68 × 82,262.16
  4. Step 4: Simplify right side
    250,756.80x = 30,942,720,635.79
  5. Step 5: Solve for x
    x = 30,942,720,635.79/250,756.80
  6. Step 6: Final answer
    x = 123,397.33

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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.