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Finding the Fourth Proportional to 177,384.80, 266,077.20 and 137,727.20

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Solution

The fourth proportional to 177,384.80, 266,077.20 and 137,727.20 is: 206,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,384.80 : 266,077.20 = 137,727.20 : x
  2. Step 2: Convert to fraction form
    177,384.80/266,077.20 = 137,727.20/x
  3. Step 3: Cross multiply
    177,384.80x = 266,077.20 × 137,727.20
  4. Step 4: Simplify right side
    177,384.80x = 36,646,067,739.84
  5. Step 5: Solve for x
    x = 36,646,067,739.84/177,384.80
  6. Step 6: Final answer
    x = 206,590.80

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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.