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Finding the Fourth Proportional to 214,839.20, 322,130.80 and 131,792.80

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Solution

The fourth proportional to 214,839.20, 322,130.80 and 131,792.80 is: 197,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,839.20 : 322,130.80 = 131,792.80 : x
  2. Step 2: Convert to fraction form
    214,839.20/322,130.80 = 131,792.80/x
  3. Step 3: Cross multiply
    214,839.20x = 322,130.80 × 131,792.80
  4. Step 4: Simplify right side
    214,839.20x = 42,454,520,098.24
  5. Step 5: Solve for x
    x = 42,454,520,098.24/214,839.20
  6. Step 6: Final answer
    x = 197,610.68

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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.