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Finding the Fourth Proportional to 205,171.20, 307,756.80 and 177,523.20

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Solution

The fourth proportional to 205,171.20, 307,756.80 and 177,523.20 is: 266,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,171.20 : 307,756.80 = 177,523.20 : x
  2. Step 2: Convert to fraction form
    205,171.20/307,756.80 = 177,523.20/x
  3. Step 3: Cross multiply
    205,171.20x = 307,756.80 × 177,523.20
  4. Step 4: Simplify right side
    205,171.20x = 54,633,971,957.76
  5. Step 5: Solve for x
    x = 54,633,971,957.76/205,171.20
  6. Step 6: Final answer
    x = 266,284.80

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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.