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Finding the Fourth Proportional to 150,138.34, 207,189.82 and 82,154.02

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Solution

The fourth proportional to 150,138.34, 207,189.82 and 82,154.02 is: 113,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,138.34 : 207,189.82 = 82,154.02 : x
  2. Step 2: Convert to fraction form
    150,138.34/207,189.82 = 82,154.02/x
  3. Step 3: Cross multiply
    150,138.34x = 207,189.82 × 82,154.02
  4. Step 4: Simplify right side
    150,138.34x = 17,021,476,616.08
  5. Step 5: Solve for x
    x = 17,021,476,616.08/150,138.34
  6. Step 6: Final answer
    x = 113,371.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.