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Finding the Fourth Proportional to 208,375.20, 312,562.80 and 199,627.20

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Solution

The fourth proportional to 208,375.20, 312,562.80 and 199,627.20 is: 299,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,375.20 : 312,562.80 = 199,627.20 : x
  2. Step 2: Convert to fraction form
    208,375.20/312,562.80 = 199,627.20/x
  3. Step 3: Cross multiply
    208,375.20x = 312,562.80 × 199,627.20
  4. Step 4: Simplify right side
    208,375.20x = 62,396,036,588.16
  5. Step 5: Solve for x
    x = 62,396,036,588.16/208,375.20
  6. Step 6: Final answer
    x = 299,440.80

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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.