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Finding the Fourth Proportional to 138,832.28, 208,246.56 and 33,652.16

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Solution

The fourth proportional to 138,832.28, 208,246.56 and 33,652.16 is: 50,477.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,832.28 : 208,246.56 = 33,652.16 : x
  2. Step 2: Convert to fraction form
    138,832.28/208,246.56 = 33,652.16/x
  3. Step 3: Cross multiply
    138,832.28x = 208,246.56 × 33,652.16
  4. Step 4: Simplify right side
    138,832.28x = 7,007,946,556.57
  5. Step 5: Solve for x
    x = 7,007,946,556.57/138,832.28
  6. Step 6: Final answer
    x = 50,477.79

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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.