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Finding the Fourth Proportional to 167,816.20, 251,724.30 and 137,096.20

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Solution

The fourth proportional to 167,816.20, 251,724.30 and 137,096.20 is: 205,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,816.20 : 251,724.30 = 137,096.20 : x
  2. Step 2: Convert to fraction form
    167,816.20/251,724.30 = 137,096.20/x
  3. Step 3: Cross multiply
    167,816.20x = 251,724.30 × 137,096.20
  4. Step 4: Simplify right side
    167,816.20x = 34,510,444,977.66
  5. Step 5: Solve for x
    x = 34,510,444,977.66/167,816.20
  6. Step 6: Final answer
    x = 205,644.30

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1.5x scale

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.