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Finding the Fourth Proportional to 218,872.37, 301,974.38 and 172,785.90

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Solution

The fourth proportional to 218,872.37, 301,974.38 and 172,785.90 is: 238,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,872.37 : 301,974.38 = 172,785.90 : x
  2. Step 2: Convert to fraction form
    218,872.37/301,974.38 = 172,785.90/x
  3. Step 3: Cross multiply
    218,872.37x = 301,974.38 × 172,785.90
  4. Step 4: Simplify right side
    218,872.37x = 52,176,914,161.31
  5. Step 5: Solve for x
    x = 52,176,914,161.31/218,872.37
  6. Step 6: Final answer
    x = 238,389.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.