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Finding the Fourth Proportional to 171,202.16, 256,664.06 and 71,436.66

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Solution

The fourth proportional to 171,202.16, 256,664.06 and 71,436.66 is: 107,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,202.16 : 256,664.06 = 71,436.66 : x
  2. Step 2: Convert to fraction form
    171,202.16/256,664.06 = 71,436.66/x
  3. Step 3: Cross multiply
    171,202.16x = 256,664.06 × 71,436.66
  4. Step 4: Simplify right side
    171,202.16x = 18,335,223,188.44
  5. Step 5: Solve for x
    x = 18,335,223,188.44/171,202.16
  6. Step 6: Final answer
    x = 107,096.92

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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.