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Finding the Fourth Proportional to 276,725.92, 415,256.88 and 110,500

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Solution

The fourth proportional to 276,725.92, 415,256.88 and 110,500 is: 165,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,725.92 : 415,256.88 = 110,500 : x
  2. Step 2: Convert to fraction form
    276,725.92/415,256.88 = 110,500/x
  3. Step 3: Cross multiply
    276,725.92x = 415,256.88 × 110,500
  4. Step 4: Simplify right side
    276,725.92x = 45,885,885,240
  5. Step 5: Solve for x
    x = 45,885,885,240/276,725.92
  6. Step 6: Final answer
    x = 165,817.08

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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.