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Finding the Fourth Proportional to 262,877.80, 394,230.30 and 96,644.20

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Solution

The fourth proportional to 262,877.80, 394,230.30 and 96,644.20 is: 144,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,877.80 : 394,230.30 = 96,644.20 : x
  2. Step 2: Convert to fraction form
    262,877.80/394,230.30 = 96,644.20/x
  3. Step 3: Cross multiply
    262,877.80x = 394,230.30 × 96,644.20
  4. Step 4: Simplify right side
    262,877.80x = 38,100,071,959.26
  5. Step 5: Solve for x
    x = 38,100,071,959.26/262,877.80
  6. Step 6: Final answer
    x = 144,934.54

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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.