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Finding the Fourth Proportional to 138,448.46, 191,059.74 and 81,121.65

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Solution

The fourth proportional to 138,448.46, 191,059.74 and 81,121.65 is: 111,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,448.46 : 191,059.74 = 81,121.65 : x
  2. Step 2: Convert to fraction form
    138,448.46/191,059.74 = 81,121.65/x
  3. Step 3: Cross multiply
    138,448.46x = 191,059.74 × 81,121.65
  4. Step 4: Simplify right side
    138,448.46x = 15,499,081,357.37
  5. Step 5: Solve for x
    x = 15,499,081,357.37/138,448.46
  6. Step 6: Final answer
    x = 111,948.39

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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.