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Finding the Fourth Proportional to 204,767.71, 307,150.35 and 52,964.80

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Solution

The fourth proportional to 204,767.71, 307,150.35 and 52,964.80 is: 79,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,767.71 : 307,150.35 = 52,964.80 : x
  2. Step 2: Convert to fraction form
    204,767.71/307,150.35 = 52,964.80/x
  3. Step 3: Cross multiply
    204,767.71x = 307,150.35 × 52,964.80
  4. Step 4: Simplify right side
    204,767.71x = 16,268,156,857.68
  5. Step 5: Solve for x
    x = 16,268,156,857.68/204,767.71
  6. Step 6: Final answer
    x = 79,446.89

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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.