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Finding the Fourth Proportional to 262,862.80, 394,207.80 and 96,629.20

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Solution

The fourth proportional to 262,862.80, 394,207.80 and 96,629.20 is: 144,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,862.80 : 394,207.80 = 96,629.20 : x
  2. Step 2: Convert to fraction form
    262,862.80/394,207.80 = 96,629.20/x
  3. Step 3: Cross multiply
    262,862.80x = 394,207.80 × 96,629.20
  4. Step 4: Simplify right side
    262,862.80x = 38,091,984,347.76
  5. Step 5: Solve for x
    x = 38,091,984,347.76/262,862.80
  6. Step 6: Final answer
    x = 144,912.04

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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.