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Finding the Fourth Proportional to 202,882.38, 304,407.40 and 88,971.24

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Solution

The fourth proportional to 202,882.38, 304,407.40 and 88,971.24 is: 133,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,882.38 : 304,407.40 = 88,971.24 : x
  2. Step 2: Convert to fraction form
    202,882.38/304,407.40 = 88,971.24/x
  3. Step 3: Cross multiply
    202,882.38x = 304,407.40 × 88,971.24
  4. Step 4: Simplify right side
    202,882.38x = 27,083,503,843.18
  5. Step 5: Solve for x
    x = 27,083,503,843.18/202,882.38
  6. Step 6: Final answer
    x = 133,493.62

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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.