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Finding the Fourth Proportional to 207,674.84, 311,538.18 and 81,298.76

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Solution

The fourth proportional to 207,674.84, 311,538.18 and 81,298.76 is: 121,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,674.84 : 311,538.18 = 81,298.76 : x
  2. Step 2: Convert to fraction form
    207,674.84/311,538.18 = 81,298.76/x
  3. Step 3: Cross multiply
    207,674.84x = 311,538.18 × 81,298.76
  4. Step 4: Simplify right side
    207,674.84x = 25,327,667,726.66
  5. Step 5: Solve for x
    x = 25,327,667,726.66/207,674.84
  6. Step 6: Final answer
    x = 121,958.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.