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Finding the Fourth Proportional to 273,152.92, 409,729.41 and 86,179

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Solution

The fourth proportional to 273,152.92, 409,729.41 and 86,179 is: 129,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,152.92 : 409,729.41 = 86,179 : x
  2. Step 2: Convert to fraction form
    273,152.92/409,729.41 = 86,179/x
  3. Step 3: Cross multiply
    273,152.92x = 409,729.41 × 86,179
  4. Step 4: Simplify right side
    273,152.92x = 35,310,070,824.39
  5. Step 5: Solve for x
    x = 35,310,070,824.39/273,152.92
  6. Step 6: Final answer
    x = 129,268.51

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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.