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Finding the Fourth Proportional to 218,469.16, 327,831.12 and 92,101.68

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Solution

The fourth proportional to 218,469.16, 327,831.12 and 92,101.68 is: 138,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,469.16 : 327,831.12 = 92,101.68 : x
  2. Step 2: Convert to fraction form
    218,469.16/327,831.12 = 92,101.68/x
  3. Step 3: Cross multiply
    218,469.16x = 327,831.12 × 92,101.68
  4. Step 4: Simplify right side
    218,469.16x = 30,193,796,908.28
  5. Step 5: Solve for x
    x = 30,193,796,908.28/218,469.16
  6. Step 6: Final answer
    x = 138,206.22

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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.