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Finding the Fourth Proportional to 202,917.20, 304,375.80 and 160,926.80

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Solution

The fourth proportional to 202,917.20, 304,375.80 and 160,926.80 is: 241,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,917.20 : 304,375.80 = 160,926.80 : x
  2. Step 2: Convert to fraction form
    202,917.20/304,375.80 = 160,926.80/x
  3. Step 3: Cross multiply
    202,917.20x = 304,375.80 × 160,926.80
  4. Step 4: Simplify right side
    202,917.20x = 48,982,223,491.44
  5. Step 5: Solve for x
    x = 48,982,223,491.44/202,917.20
  6. Step 6: Final answer
    x = 241,390.20

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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.