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Finding the Fourth Proportional to 137,293.97, 189,481.59 and 83,610.41

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Solution

The fourth proportional to 137,293.97, 189,481.59 and 83,610.41 is: 115,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,293.97 : 189,481.59 = 83,610.41 : x
  2. Step 2: Convert to fraction form
    137,293.97/189,481.59 = 83,610.41/x
  3. Step 3: Cross multiply
    137,293.97x = 189,481.59 × 83,610.41
  4. Step 4: Simplify right side
    137,293.97x = 15,842,632,479.94
  5. Step 5: Solve for x
    x = 15,842,632,479.94/137,293.97
  6. Step 6: Final answer
    x = 115,392.05

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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.