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Finding the Fourth Proportional to 273,027.70, 409,603.75 and 83,514.82

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Solution

The fourth proportional to 273,027.70, 409,603.75 and 83,514.82 is: 125,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,027.70 : 409,603.75 = 83,514.82 : x
  2. Step 2: Convert to fraction form
    273,027.70/409,603.75 = 83,514.82/x
  3. Step 3: Cross multiply
    273,027.70x = 409,603.75 × 83,514.82
  4. Step 4: Simplify right side
    273,027.70x = 34,207,983,452.58
  5. Step 5: Solve for x
    x = 34,207,983,452.58/273,027.70
  6. Step 6: Final answer
    x = 125,291.26

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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.