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Finding the Fourth Proportional to 147,231.32, 220,729.98 and 64,067

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Solution

The fourth proportional to 147,231.32, 220,729.98 and 64,067 is: 96,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,231.32 : 220,729.98 = 64,067 : x
  2. Step 2: Convert to fraction form
    147,231.32/220,729.98 = 64,067/x
  3. Step 3: Cross multiply
    147,231.32x = 220,729.98 × 64,067
  4. Step 4: Simplify right side
    147,231.32x = 14,141,507,628.66
  5. Step 5: Solve for x
    x = 14,141,507,628.66/147,231.32
  6. Step 6: Final answer
    x = 96,049.59

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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.