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Finding the Fourth Proportional to 140,908.06, 194,461.14 and 83,581.39

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Solution

The fourth proportional to 140,908.06, 194,461.14 and 83,581.39 is: 115,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,908.06 : 194,461.14 = 83,581.39 : x
  2. Step 2: Convert to fraction form
    140,908.06/194,461.14 = 83,581.39/x
  3. Step 3: Cross multiply
    140,908.06x = 194,461.14 × 83,581.39
  4. Step 4: Simplify right side
    140,908.06x = 16,253,332,382.18
  5. Step 5: Solve for x
    x = 16,253,332,382.18/140,908.06
  6. Step 6: Final answer
    x = 115,347.07

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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.