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Finding the Fourth Proportional to 227,706.80, 341,450.78 and 107,663.72

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Solution

The fourth proportional to 227,706.80, 341,450.78 and 107,663.72 is: 161,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,706.80 : 341,450.78 = 107,663.72 : x
  2. Step 2: Convert to fraction form
    227,706.80/341,450.78 = 107,663.72/x
  3. Step 3: Cross multiply
    227,706.80x = 341,450.78 × 107,663.72
  4. Step 4: Simplify right side
    227,706.80x = 36,761,858,926.13
  5. Step 5: Solve for x
    x = 36,761,858,926.13/227,706.80
  6. Step 6: Final answer
    x = 161,443.84

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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.