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Finding the Fourth Proportional to 138,933, 208,399.32 and 33,751.80

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Solution

The fourth proportional to 138,933, 208,399.32 and 33,751.80 is: 50,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,933 : 208,399.32 = 33,751.80 : x
  2. Step 2: Convert to fraction form
    138,933/208,399.32 = 33,751.80/x
  3. Step 3: Cross multiply
    138,933x = 208,399.32 × 33,751.80
  4. Step 4: Simplify right side
    138,933x = 7,033,852,168.78
  5. Step 5: Solve for x
    x = 7,033,852,168.78/138,933
  6. Step 6: Final answer
    x = 50,627.66

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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.