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Finding the Fourth Proportional to 138,062.44, 206,790.10 and 114,098.39

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Solution

The fourth proportional to 138,062.44, 206,790.10 and 114,098.39 is: 170,896.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,062.44 : 206,790.10 = 114,098.39 : x
  2. Step 2: Convert to fraction form
    138,062.44/206,790.10 = 114,098.39/x
  3. Step 3: Cross multiply
    138,062.44x = 206,790.10 × 114,098.39
  4. Step 4: Simplify right side
    138,062.44x = 23,594,417,477.94
  5. Step 5: Solve for x
    x = 23,594,417,477.94/138,062.44
  6. Step 6: Final answer
    x = 170,896.72

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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.