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Finding the Fourth Proportional to 218,228.66, 327,044.36 and 164,876.78

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Solution

The fourth proportional to 218,228.66, 327,044.36 and 164,876.78 is: 247,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,228.66 : 327,044.36 = 164,876.78 : x
  2. Step 2: Convert to fraction form
    218,228.66/327,044.36 = 164,876.78/x
  3. Step 3: Cross multiply
    218,228.66x = 327,044.36 × 164,876.78
  4. Step 4: Simplify right side
    218,228.66x = 53,922,020,993.96
  5. Step 5: Solve for x
    x = 53,922,020,993.96/218,228.66
  6. Step 6: Final answer
    x = 247,089.55

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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.