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Finding the Fourth Proportional to 402,441.20, 603,443.10 and 136,064.60

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Solution

The fourth proportional to 402,441.20, 603,443.10 and 136,064.60 is: 204,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,441.20 : 603,443.10 = 136,064.60 : x
  2. Step 2: Convert to fraction form
    402,441.20/603,443.10 = 136,064.60/x
  3. Step 3: Cross multiply
    402,441.20x = 603,443.10 × 136,064.60
  4. Step 4: Simplify right side
    402,441.20x = 82,107,244,024.26
  5. Step 5: Solve for x
    x = 82,107,244,024.26/402,441.20
  6. Step 6: Final answer
    x = 204,022.96

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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.