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Finding the Fourth Proportional to 202,751.30, 304,057.76 and 82,789.57

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Solution

The fourth proportional to 202,751.30, 304,057.76 and 82,789.57 is: 124,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,751.30 : 304,057.76 = 82,789.57 : x
  2. Step 2: Convert to fraction form
    202,751.30/304,057.76 = 82,789.57/x
  3. Step 3: Cross multiply
    202,751.30x = 304,057.76 × 82,789.57
  4. Step 4: Simplify right side
    202,751.30x = 25,172,810,374.74
  5. Step 5: Solve for x
    x = 25,172,810,374.74/202,751.30
  6. Step 6: Final answer
    x = 124,156.10

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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.