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Finding the Fourth Proportional to 273,266.10, 409,911.45 and 83,712.63

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Solution

The fourth proportional to 273,266.10, 409,911.45 and 83,712.63 is: 125,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,266.10 : 409,911.45 = 83,712.63 : x
  2. Step 2: Convert to fraction form
    273,266.10/409,911.45 = 83,712.63/x
  3. Step 3: Cross multiply
    273,266.10x = 409,911.45 × 83,712.63
  4. Step 4: Simplify right side
    273,266.10x = 34,314,765,546.61
  5. Step 5: Solve for x
    x = 34,314,765,546.61/273,266.10
  6. Step 6: Final answer
    x = 125,572.71

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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.