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Finding the Fourth Proportional to 275,720.40, 413,143.20 and 182,116.80

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Solution

The fourth proportional to 275,720.40, 413,143.20 and 182,116.80 is: 272,886.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,720.40 : 413,143.20 = 182,116.80 : x
  2. Step 2: Convert to fraction form
    275,720.40/413,143.20 = 182,116.80/x
  3. Step 3: Cross multiply
    275,720.40x = 413,143.20 × 182,116.80
  4. Step 4: Simplify right side
    275,720.40x = 75,240,317,525.76
  5. Step 5: Solve for x
    x = 75,240,317,525.76/275,720.40
  6. Step 6: Final answer
    x = 272,886.29

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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.