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Finding the Fourth Proportional to 202,862.30, 304,321.13 and 84,505.96

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Solution

The fourth proportional to 202,862.30, 304,321.13 and 84,505.96 is: 126,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,862.30 : 304,321.13 = 84,505.96 : x
  2. Step 2: Convert to fraction form
    202,862.30/304,321.13 = 84,505.96/x
  3. Step 3: Cross multiply
    202,862.30x = 304,321.13 × 84,505.96
  4. Step 4: Simplify right side
    202,862.30x = 25,716,948,170.43
  5. Step 5: Solve for x
    x = 25,716,948,170.43/202,862.30
  6. Step 6: Final answer
    x = 126,770.47

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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.