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Finding the Fourth Proportional to 218,302.38, 327,063.98 and 118,398.84

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Solution

The fourth proportional to 218,302.38, 327,063.98 and 118,398.84 is: 177,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,302.38 : 327,063.98 = 118,398.84 : x
  2. Step 2: Convert to fraction form
    218,302.38/327,063.98 = 118,398.84/x
  3. Step 3: Cross multiply
    218,302.38x = 327,063.98 × 118,398.84
  4. Step 4: Simplify right side
    218,302.38x = 38,723,995,837.78
  5. Step 5: Solve for x
    x = 38,723,995,837.78/218,302.38
  6. Step 6: Final answer
    x = 177,386.97

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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.