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Finding the Fourth Proportional to 276,733.92, 415,268.88 and 110,508

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Solution

The fourth proportional to 276,733.92, 415,268.88 and 110,508 is: 165,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,733.92 : 415,268.88 = 110,508 : x
  2. Step 2: Convert to fraction form
    276,733.92/415,268.88 = 110,508/x
  3. Step 3: Cross multiply
    276,733.92x = 415,268.88 × 110,508
  4. Step 4: Simplify right side
    276,733.92x = 45,890,533,391.04
  5. Step 5: Solve for x
    x = 45,890,533,391.04/276,733.92
  6. Step 6: Final answer
    x = 165,829.09

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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.