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Finding the Fourth Proportional to 107,159.41, 160,706.30 and 74,091.97

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Solution

The fourth proportional to 107,159.41, 160,706.30 and 74,091.97 is: 111,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,159.41 : 160,706.30 = 74,091.97 : x
  2. Step 2: Convert to fraction form
    107,159.41/160,706.30 = 74,091.97/x
  3. Step 3: Cross multiply
    107,159.41x = 160,706.30 × 74,091.97
  4. Step 4: Simplify right side
    107,159.41x = 11,907,046,945.41
  5. Step 5: Solve for x
    x = 11,907,046,945.41/107,159.41
  6. Step 6: Final answer
    x = 111,115.27

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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.