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Finding the Fourth Proportional to 227,701.20, 341,551.80 and 205,150.80

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Solution

The fourth proportional to 227,701.20, 341,551.80 and 205,150.80 is: 307,726.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,701.20 : 341,551.80 = 205,150.80 : x
  2. Step 2: Convert to fraction form
    227,701.20/341,551.80 = 205,150.80/x
  3. Step 3: Cross multiply
    227,701.20x = 341,551.80 × 205,150.80
  4. Step 4: Simplify right side
    227,701.20x = 70,069,625,011.44
  5. Step 5: Solve for x
    x = 70,069,625,011.44/227,701.20
  6. Step 6: Final answer
    x = 307,726.20

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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.