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Finding the Fourth Proportional to 217,706.14, 300,444.43 and 120,910.38

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Solution

The fourth proportional to 217,706.14, 300,444.43 and 120,910.38 is: 166,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,706.14 : 300,444.43 = 120,910.38 : x
  2. Step 2: Convert to fraction form
    217,706.14/300,444.43 = 120,910.38/x
  3. Step 3: Cross multiply
    217,706.14x = 300,444.43 × 120,910.38
  4. Step 4: Simplify right side
    217,706.14x = 36,326,850,200.18
  5. Step 5: Solve for x
    x = 36,326,850,200.18/217,706.14
  6. Step 6: Final answer
    x = 166,861.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.