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Finding the Fourth Proportional to 138,736.71, 208,105.16 and 33,555.78

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Solution

The fourth proportional to 138,736.71, 208,105.16 and 33,555.78 is: 50,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,736.71 : 208,105.16 = 33,555.78 : x
  2. Step 2: Convert to fraction form
    138,736.71/208,105.16 = 33,555.78/x
  3. Step 3: Cross multiply
    138,736.71x = 208,105.16 × 33,555.78
  4. Step 4: Simplify right side
    138,736.71x = 6,983,130,798.05
  5. Step 5: Solve for x
    x = 6,983,130,798.05/138,736.71
  6. Step 6: Final answer
    x = 50,333.69

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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.