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Finding the Fourth Proportional to 273,135.16, 409,546.14 and 83,542.78

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Solution

The fourth proportional to 273,135.16, 409,546.14 and 83,542.78 is: 125,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,135.16 : 409,546.14 = 83,542.78 : x
  2. Step 2: Convert to fraction form
    273,135.16/409,546.14 = 83,542.78/x
  3. Step 3: Cross multiply
    273,135.16x = 409,546.14 × 83,542.78
  4. Step 4: Simplify right side
    273,135.16x = 34,214,623,073.87
  5. Step 5: Solve for x
    x = 34,214,623,073.87/273,135.16
  6. Step 6: Final answer
    x = 125,266.27

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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.