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Finding the Fourth Proportional to 138,197.84, 207,274.60 and 49,434.80

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Solution

The fourth proportional to 138,197.84, 207,274.60 and 49,434.80 is: 74,144.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,197.84 : 207,274.60 = 49,434.80 : x
  2. Step 2: Convert to fraction form
    138,197.84/207,274.60 = 49,434.80/x
  3. Step 3: Cross multiply
    138,197.84x = 207,274.60 × 49,434.80
  4. Step 4: Simplify right side
    138,197.84x = 10,246,578,396.08
  5. Step 5: Solve for x
    x = 10,246,578,396.08/138,197.84
  6. Step 6: Final answer
    x = 74,144.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.