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Finding the Fourth Proportional to 207,824.92, 311,774.10 and 67,558.84

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Solution

The fourth proportional to 207,824.92, 311,774.10 and 67,558.84 is: 101,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,824.92 : 311,774.10 = 67,558.84 : x
  2. Step 2: Convert to fraction form
    207,824.92/311,774.10 = 67,558.84/x
  3. Step 3: Cross multiply
    207,824.92x = 311,774.10 × 67,558.84
  4. Step 4: Simplify right side
    207,824.92x = 21,063,096,538.04
  5. Step 5: Solve for x
    x = 21,063,096,538.04/207,824.92
  6. Step 6: Final answer
    x = 101,350.20

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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.