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Finding the Fourth Proportional to 147,029.38, 203,176.37 and 120,162.09

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Solution

The fourth proportional to 147,029.38, 203,176.37 and 120,162.09 is: 166,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,029.38 : 203,176.37 = 120,162.09 : x
  2. Step 2: Convert to fraction form
    147,029.38/203,176.37 = 120,162.09/x
  3. Step 3: Cross multiply
    147,029.38x = 203,176.37 × 120,162.09
  4. Step 4: Simplify right side
    147,029.38x = 24,414,097,257.81
  5. Step 5: Solve for x
    x = 24,414,097,257.81/147,029.38
  6. Step 6: Final answer
    x = 166,049.11

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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.