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Finding the Fourth Proportional to 221,081.28, 305,141.28 and 140,493

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Solution

The fourth proportional to 221,081.28, 305,141.28 and 140,493 is: 193,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,081.28 : 305,141.28 = 140,493 : x
  2. Step 2: Convert to fraction form
    221,081.28/305,141.28 = 140,493/x
  3. Step 3: Cross multiply
    221,081.28x = 305,141.28 × 140,493
  4. Step 4: Simplify right side
    221,081.28x = 42,870,213,851.04
  5. Step 5: Solve for x
    x = 42,870,213,851.04/221,081.28
  6. Step 6: Final answer
    x = 193,911.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.