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Finding the Fourth Proportional to 138,356.76, 190,932.54 and 80,985.66

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Solution

The fourth proportional to 138,356.76, 190,932.54 and 80,985.66 is: 111,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,356.76 : 190,932.54 = 80,985.66 : x
  2. Step 2: Convert to fraction form
    138,356.76/190,932.54 = 80,985.66/x
  3. Step 3: Cross multiply
    138,356.76x = 190,932.54 × 80,985.66
  4. Step 4: Simplify right side
    138,356.76x = 15,462,797,767.38
  5. Step 5: Solve for x
    x = 15,462,797,767.38/138,356.76
  6. Step 6: Final answer
    x = 111,760.33

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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.