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Finding the Fourth Proportional to 273,037.68, 409,597.56 and 86,046.48

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Solution

The fourth proportional to 273,037.68, 409,597.56 and 86,046.48 is: 129,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,037.68 : 409,597.56 = 86,046.48 : x
  2. Step 2: Convert to fraction form
    273,037.68/409,597.56 = 86,046.48/x
  3. Step 3: Cross multiply
    273,037.68x = 409,597.56 × 86,046.48
  4. Step 4: Simplify right side
    273,037.68x = 35,244,428,254.59
  5. Step 5: Solve for x
    x = 35,244,428,254.59/273,037.68
  6. Step 6: Final answer
    x = 129,082.65

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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.