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Finding the Fourth Proportional to 168,974.40, 253,202.40 and 146,683.20

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Solution

The fourth proportional to 168,974.40, 253,202.40 and 146,683.20 is: 219,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,974.40 : 253,202.40 = 146,683.20 : x
  2. Step 2: Convert to fraction form
    168,974.40/253,202.40 = 146,683.20/x
  3. Step 3: Cross multiply
    168,974.40x = 253,202.40 × 146,683.20
  4. Step 4: Simplify right side
    168,974.40x = 37,140,538,279.68
  5. Step 5: Solve for x
    x = 37,140,538,279.68/168,974.40
  6. Step 6: Final answer
    x = 219,799.79

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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.