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Finding the Fourth Proportional to 207,882.90, 311,831.55 and 65,729.70

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Solution

The fourth proportional to 207,882.90, 311,831.55 and 65,729.70 is: 98,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,882.90 : 311,831.55 = 65,729.70 : x
  2. Step 2: Convert to fraction form
    207,882.90/311,831.55 = 65,729.70/x
  3. Step 3: Cross multiply
    207,882.90x = 311,831.55 × 65,729.70
  4. Step 4: Simplify right side
    207,882.90x = 20,496,594,232.04
  5. Step 5: Solve for x
    x = 20,496,594,232.04/207,882.90
  6. Step 6: Final answer
    x = 98,596.83

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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.