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Finding the Fourth Proportional to 171,071.30, 256,120.95 and 161,761.70

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Solution

The fourth proportional to 171,071.30, 256,120.95 and 161,761.70 is: 242,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,071.30 : 256,120.95 = 161,761.70 : x
  2. Step 2: Convert to fraction form
    171,071.30/256,120.95 = 161,761.70/x
  3. Step 3: Cross multiply
    171,071.30x = 256,120.95 × 161,761.70
  4. Step 4: Simplify right side
    171,071.30x = 41,430,560,277.62
  5. Step 5: Solve for x
    x = 41,430,560,277.62/171,071.30
  6. Step 6: Final answer
    x = 242,183.00

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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.