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Finding the Fourth Proportional to 203,231.46, 280,462.23 and 117,188.94

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Solution

The fourth proportional to 203,231.46, 280,462.23 and 117,188.94 is: 161,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,231.46 : 280,462.23 = 117,188.94 : x
  2. Step 2: Convert to fraction form
    203,231.46/280,462.23 = 117,188.94/x
  3. Step 3: Cross multiply
    203,231.46x = 280,462.23 × 117,188.94
  4. Step 4: Simplify right side
    203,231.46x = 32,867,071,443.74
  5. Step 5: Solve for x
    x = 32,867,071,443.74/203,231.46
  6. Step 6: Final answer
    x = 161,722.36

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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.