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Finding the Fourth Proportional to 138,364.14, 190,944.07 and 80,990.93

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Solution

The fourth proportional to 138,364.14, 190,944.07 and 80,990.93 is: 111,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,364.14 : 190,944.07 = 80,990.93 : x
  2. Step 2: Convert to fraction form
    138,364.14/190,944.07 = 80,990.93/x
  3. Step 3: Cross multiply
    138,364.14x = 190,944.07 × 80,990.93
  4. Step 4: Simplify right side
    138,364.14x = 15,464,738,082.17
  5. Step 5: Solve for x
    x = 15,464,738,082.17/138,364.14
  6. Step 6: Final answer
    x = 111,768.39

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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.