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Finding the Fourth Proportional to 218,395.32, 327,440.98 and 96,749.79

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Solution

The fourth proportional to 218,395.32, 327,440.98 and 96,749.79 is: 145,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,395.32 : 327,440.98 = 96,749.79 : x
  2. Step 2: Convert to fraction form
    218,395.32/327,440.98 = 96,749.79/x
  3. Step 3: Cross multiply
    218,395.32x = 327,440.98 × 96,749.79
  4. Step 4: Simplify right side
    218,395.32x = 31,679,846,052.39
  5. Step 5: Solve for x
    x = 31,679,846,052.39/218,395.32
  6. Step 6: Final answer
    x = 145,057.35

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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.