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Finding the Fourth Proportional to 294,414.20, 441,750.90 and 136,561.40

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Solution

The fourth proportional to 294,414.20, 441,750.90 and 136,561.40 is: 204,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,414.20 : 441,750.90 = 136,561.40 : x
  2. Step 2: Convert to fraction form
    294,414.20/441,750.90 = 136,561.40/x
  3. Step 3: Cross multiply
    294,414.20x = 441,750.90 × 136,561.40
  4. Step 4: Simplify right side
    294,414.20x = 60,326,121,355.26
  5. Step 5: Solve for x
    x = 60,326,121,355.26/294,414.20
  6. Step 6: Final answer
    x = 204,902.21

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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.