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Finding the Fourth Proportional to 207,733.28, 311,641.84 and 65,600.76

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Solution

The fourth proportional to 207,733.28, 311,641.84 and 65,600.76 is: 98,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,733.28 : 311,641.84 = 65,600.76 : x
  2. Step 2: Convert to fraction form
    207,733.28/311,641.84 = 65,600.76/x
  3. Step 3: Cross multiply
    207,733.28x = 311,641.84 × 65,600.76
  4. Step 4: Simplify right side
    207,733.28x = 20,443,941,551.80
  5. Step 5: Solve for x
    x = 20,443,941,551.80/207,733.28
  6. Step 6: Final answer
    x = 98,414.38

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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.