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Finding the Fourth Proportional to 138,928.97, 208,391.94 and 33,748.04

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Solution

The fourth proportional to 138,928.97, 208,391.94 and 33,748.04 is: 50,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,928.97 : 208,391.94 = 33,748.04 : x
  2. Step 2: Convert to fraction form
    138,928.97/208,391.94 = 33,748.04/x
  3. Step 3: Cross multiply
    138,928.97x = 208,391.94 × 33,748.04
  4. Step 4: Simplify right side
    138,928.97x = 7,032,820,047.78
  5. Step 5: Solve for x
    x = 7,032,820,047.78/138,928.97
  6. Step 6: Final answer
    x = 50,621.69

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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.