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Finding the Fourth Proportional to 166,705.92, 250,084.80 and 55,872

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Solution

The fourth proportional to 166,705.92, 250,084.80 and 55,872 is: 83,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,705.92 : 250,084.80 = 55,872 : x
  2. Step 2: Convert to fraction form
    166,705.92/250,084.80 = 55,872/x
  3. Step 3: Cross multiply
    166,705.92x = 250,084.80 × 55,872
  4. Step 4: Simplify right side
    166,705.92x = 13,972,737,945.60
  5. Step 5: Solve for x
    x = 13,972,737,945.60/166,705.92
  6. Step 6: Final answer
    x = 83,816.69

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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.