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Finding the Fourth Proportional to 138,926.76, 208,390.13 and 33,745.02

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Solution

The fourth proportional to 138,926.76, 208,390.13 and 33,745.02 is: 50,617.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,926.76 : 208,390.13 = 33,745.02 : x
  2. Step 2: Convert to fraction form
    138,926.76/208,390.13 = 33,745.02/x
  3. Step 3: Cross multiply
    138,926.76x = 208,390.13 × 33,745.02
  4. Step 4: Simplify right side
    138,926.76x = 7,032,129,104.65
  5. Step 5: Solve for x
    x = 7,032,129,104.65/138,926.76
  6. Step 6: Final answer
    x = 50,617.53

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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.