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Finding the Fourth Proportional to 275,718.40, 413,140.20 and 182,114.80

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Solution

The fourth proportional to 275,718.40, 413,140.20 and 182,114.80 is: 272,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,718.40 : 413,140.20 = 182,114.80 : x
  2. Step 2: Convert to fraction form
    275,718.40/413,140.20 = 182,114.80/x
  3. Step 3: Cross multiply
    275,718.40x = 413,140.20 × 182,114.80
  4. Step 4: Simplify right side
    275,718.40x = 75,238,944,894.96
  5. Step 5: Solve for x
    x = 75,238,944,894.96/275,718.40
  6. Step 6: Final answer
    x = 272,883.29

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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.