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Finding the Fourth Proportional to 276,731.92, 415,265.88 and 110,506

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Solution

The fourth proportional to 276,731.92, 415,265.88 and 110,506 is: 165,826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,731.92 : 415,265.88 = 110,506 : x
  2. Step 2: Convert to fraction form
    276,731.92/415,265.88 = 110,506/x
  3. Step 3: Cross multiply
    276,731.92x = 415,265.88 × 110,506
  4. Step 4: Simplify right side
    276,731.92x = 45,889,371,335.28
  5. Step 5: Solve for x
    x = 45,889,371,335.28/276,731.92
  6. Step 6: Final answer
    x = 165,826.09

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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.