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Finding the Fourth Proportional to 402,169.13, 603,327.84 and 132,312.44

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Solution

The fourth proportional to 402,169.13, 603,327.84 and 132,312.44 is: 198,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,169.13 : 603,327.84 = 132,312.44 : x
  2. Step 2: Convert to fraction form
    402,169.13/603,327.84 = 132,312.44/x
  3. Step 3: Cross multiply
    402,169.13x = 603,327.84 × 132,312.44
  4. Step 4: Simplify right side
    402,169.13x = 79,827,778,630.33
  5. Step 5: Solve for x
    x = 79,827,778,630.33/402,169.13
  6. Step 6: Final answer
    x = 198,493.05

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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.