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Finding the Fourth Proportional to 205,165.20, 307,747.80 and 177,517.20

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Solution

The fourth proportional to 205,165.20, 307,747.80 and 177,517.20 is: 266,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,165.20 : 307,747.80 = 177,517.20 : x
  2. Step 2: Convert to fraction form
    205,165.20/307,747.80 = 177,517.20/x
  3. Step 3: Cross multiply
    205,165.20x = 307,747.80 × 177,517.20
  4. Step 4: Simplify right side
    205,165.20x = 54,630,527,762.16
  5. Step 5: Solve for x
    x = 54,630,527,762.16/205,165.20
  6. Step 6: Final answer
    x = 266,275.80

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1.5x scale

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.