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Finding the Fourth Proportional to 294,253.57, 441,074.17 and 136,352.17

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Solution

The fourth proportional to 294,253.57, 441,074.17 and 136,352.17 is: 204,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,253.57 : 441,074.17 = 136,352.17 : x
  2. Step 2: Convert to fraction form
    294,253.57/441,074.17 = 136,352.17/x
  3. Step 3: Cross multiply
    294,253.57x = 441,074.17 × 136,352.17
  4. Step 4: Simplify right side
    294,253.57x = 60,141,418,766.88
  5. Step 5: Solve for x
    x = 60,141,418,766.88/294,253.57
  6. Step 6: Final answer
    x = 204,386.37

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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.