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Finding the Fourth Proportional to 402,759.40, 604,119.90 and 136,493.80

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Solution

The fourth proportional to 402,759.40, 604,119.90 and 136,493.80 is: 204,734.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,759.40 : 604,119.90 = 136,493.80 : x
  2. Step 2: Convert to fraction form
    402,759.40/604,119.90 = 136,493.80/x
  3. Step 3: Cross multiply
    402,759.40x = 604,119.90 × 136,493.80
  4. Step 4: Simplify right side
    402,759.40x = 82,458,620,806.62
  5. Step 5: Solve for x
    x = 82,458,620,806.62/402,759.40
  6. Step 6: Final answer
    x = 204,734.19

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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.