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Finding the Fourth Proportional to 273,080.13, 409,667.12 and 83,535.95

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Solution

The fourth proportional to 273,080.13, 409,667.12 and 83,535.95 is: 125,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,080.13 : 409,667.12 = 83,535.95 : x
  2. Step 2: Convert to fraction form
    273,080.13/409,667.12 = 83,535.95/x
  3. Step 3: Cross multiply
    273,080.13x = 409,667.12 × 83,535.95
  4. Step 4: Simplify right side
    273,080.13x = 34,221,929,586.95
  5. Step 5: Solve for x
    x = 34,221,929,586.95/273,080.13
  6. Step 6: Final answer
    x = 125,318.27

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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.