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Finding the Fourth Proportional to 138,797.44, 208,197.86 and 48,842.84

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Solution

The fourth proportional to 138,797.44, 208,197.86 and 48,842.84 is: 73,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,797.44 : 208,197.86 = 48,842.84 : x
  2. Step 2: Convert to fraction form
    138,797.44/208,197.86 = 48,842.84/x
  3. Step 3: Cross multiply
    138,797.44x = 208,197.86 × 48,842.84
  4. Step 4: Simplify right side
    138,797.44x = 10,168,974,144.23
  5. Step 5: Solve for x
    x = 10,168,974,144.23/138,797.44
  6. Step 6: Final answer
    x = 73,264.86

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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.