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Finding the Fourth Proportional to 262,909.20, 394,363.80 and 96,675.60

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Solution

The fourth proportional to 262,909.20, 394,363.80 and 96,675.60 is: 145,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,909.20 : 394,363.80 = 96,675.60 : x
  2. Step 2: Convert to fraction form
    262,909.20/394,363.80 = 96,675.60/x
  3. Step 3: Cross multiply
    262,909.20x = 394,363.80 × 96,675.60
  4. Step 4: Simplify right side
    262,909.20x = 38,125,356,983.28
  5. Step 5: Solve for x
    x = 38,125,356,983.28/262,909.20
  6. Step 6: Final answer
    x = 145,013.40

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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.