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Finding the Fourth Proportional to 202,763, 304,211.14 and 82,920.76

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Solution

The fourth proportional to 202,763, 304,211.14 and 82,920.76 is: 124,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,763 : 304,211.14 = 82,920.76 : x
  2. Step 2: Convert to fraction form
    202,763/304,211.14 = 82,920.76/x
  3. Step 3: Cross multiply
    202,763x = 304,211.14 × 82,920.76
  4. Step 4: Simplify right side
    202,763x = 25,225,418,514.66
  5. Step 5: Solve for x
    x = 25,225,418,514.66/202,763
  6. Step 6: Final answer
    x = 124,408.39

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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.