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Finding the Fourth Proportional to 138,059.44, 206,785.61 and 114,095.39

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Solution

The fourth proportional to 138,059.44, 206,785.61 and 114,095.39 is: 170,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,059.44 : 206,785.61 = 114,095.39 : x
  2. Step 2: Convert to fraction form
    138,059.44/206,785.61 = 114,095.39/x
  3. Step 3: Cross multiply
    138,059.44x = 206,785.61 × 114,095.39
  4. Step 4: Simplify right side
    138,059.44x = 23,593,283,214.93
  5. Step 5: Solve for x
    x = 23,593,283,214.93/138,059.44
  6. Step 6: Final answer
    x = 170,892.22

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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.