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Finding the Fourth Proportional to 262,854.80, 394,195.80 and 96,621.20

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Solution

The fourth proportional to 262,854.80, 394,195.80 and 96,621.20 is: 144,900.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,854.80 : 394,195.80 = 96,621.20 : x
  2. Step 2: Convert to fraction form
    262,854.80/394,195.80 = 96,621.20/x
  3. Step 3: Cross multiply
    262,854.80x = 394,195.80 × 96,621.20
  4. Step 4: Simplify right side
    262,854.80x = 38,087,671,230.96
  5. Step 5: Solve for x
    x = 38,087,671,230.96/262,854.80
  6. Step 6: Final answer
    x = 144,900.04

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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.