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Finding the Fourth Proportional to 203,324.32, 280,583.53 and 112,678.41

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Solution

The fourth proportional to 203,324.32, 280,583.53 and 112,678.41 is: 155,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,324.32 : 280,583.53 = 112,678.41 : x
  2. Step 2: Convert to fraction form
    203,324.32/280,583.53 = 112,678.41/x
  3. Step 3: Cross multiply
    203,324.32x = 280,583.53 × 112,678.41
  4. Step 4: Simplify right side
    203,324.32x = 31,615,705,469.20
  5. Step 5: Solve for x
    x = 31,615,705,469.20/203,324.32
  6. Step 6: Final answer
    x = 155,493.97

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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.