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Finding the Fourth Proportional to 166,902.75, 250,393.50 and 54,582.53

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Solution

The fourth proportional to 166,902.75, 250,393.50 and 54,582.53 is: 81,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,902.75 : 250,393.50 = 54,582.53 : x
  2. Step 2: Convert to fraction form
    166,902.75/250,393.50 = 54,582.53/x
  3. Step 3: Cross multiply
    166,902.75x = 250,393.50 × 54,582.53
  4. Step 4: Simplify right side
    166,902.75x = 13,667,109,473.59
  5. Step 5: Solve for x
    x = 13,667,109,473.59/166,902.75
  6. Step 6: Final answer
    x = 81,886.66

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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.