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Finding the Fourth Proportional to 138,836.28, 208,252.56 and 33,656.16

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Solution

The fourth proportional to 138,836.28, 208,252.56 and 33,656.16 is: 50,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,836.28 : 208,252.56 = 33,656.16 : x
  2. Step 2: Convert to fraction form
    138,836.28/208,252.56 = 33,656.16/x
  3. Step 3: Cross multiply
    138,836.28x = 208,252.56 × 33,656.16
  4. Step 4: Simplify right side
    138,836.28x = 7,008,981,479.77
  5. Step 5: Solve for x
    x = 7,008,981,479.77/138,836.28
  6. Step 6: Final answer
    x = 50,483.79

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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.