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Finding the Fourth Proportional to 164,575.70, 246,871.65 and 85,843.70

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Solution

The fourth proportional to 164,575.70, 246,871.65 and 85,843.70 is: 128,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,575.70 : 246,871.65 = 85,843.70 : x
  2. Step 2: Convert to fraction form
    164,575.70/246,871.65 = 85,843.70/x
  3. Step 3: Cross multiply
    164,575.70x = 246,871.65 × 85,843.70
  4. Step 4: Simplify right side
    164,575.70x = 21,192,375,861.11
  5. Step 5: Solve for x
    x = 21,192,375,861.11/164,575.70
  6. Step 6: Final answer
    x = 128,769.78

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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.