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Finding the Fourth Proportional to 229,502.80, 344,254.20 and 166,517.20

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Solution

The fourth proportional to 229,502.80, 344,254.20 and 166,517.20 is: 249,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,502.80 : 344,254.20 = 166,517.20 : x
  2. Step 2: Convert to fraction form
    229,502.80/344,254.20 = 166,517.20/x
  3. Step 3: Cross multiply
    229,502.80x = 344,254.20 × 166,517.20
  4. Step 4: Simplify right side
    229,502.80x = 57,324,245,472.24
  5. Step 5: Solve for x
    x = 57,324,245,472.24/229,502.80
  6. Step 6: Final answer
    x = 249,775.80

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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.