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Finding the Fourth Proportional to 138,826.60, 191,567.10 and 82,227.04

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Solution

The fourth proportional to 138,826.60, 191,567.10 and 82,227.04 is: 113,465.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,826.60 : 191,567.10 = 82,227.04 : x
  2. Step 2: Convert to fraction form
    138,826.60/191,567.10 = 82,227.04/x
  3. Step 3: Cross multiply
    138,826.60x = 191,567.10 × 82,227.04
  4. Step 4: Simplify right side
    138,826.60x = 15,751,995,594.38
  5. Step 5: Solve for x
    x = 15,751,995,594.38/138,826.60
  6. Step 6: Final answer
    x = 113,465.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.