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Finding the Fourth Proportional to 207,966.72, 311,976 and 67,687.68

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Solution

The fourth proportional to 207,966.72, 311,976 and 67,687.68 is: 101,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,966.72 : 311,976 = 67,687.68 : x
  2. Step 2: Convert to fraction form
    207,966.72/311,976 = 67,687.68/x
  3. Step 3: Cross multiply
    207,966.72x = 311,976 × 67,687.68
  4. Step 4: Simplify right side
    207,966.72x = 21,116,931,655.68
  5. Step 5: Solve for x
    x = 21,116,931,655.68/207,966.72
  6. Step 6: Final answer
    x = 101,539.96

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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.