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Finding the Fourth Proportional to 167,225.75, 230,843.51 and 102,705.44

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Solution

The fourth proportional to 167,225.75, 230,843.51 and 102,705.44 is: 141,777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,225.75 : 230,843.51 = 102,705.44 : x
  2. Step 2: Convert to fraction form
    167,225.75/230,843.51 = 102,705.44/x
  3. Step 3: Cross multiply
    167,225.75x = 230,843.51 × 102,705.44
  4. Step 4: Simplify right side
    167,225.75x = 23,708,882,597.95
  5. Step 5: Solve for x
    x = 23,708,882,597.95/167,225.75
  6. Step 6: Final answer
    x = 141,777.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.