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Finding the Fourth Proportional to 109,387, 150,954.12 and 59,086

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Solution

The fourth proportional to 109,387, 150,954.12 and 59,086 is: 81,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,387 : 150,954.12 = 59,086 : x
  2. Step 2: Convert to fraction form
    109,387/150,954.12 = 59,086/x
  3. Step 3: Cross multiply
    109,387x = 150,954.12 × 59,086
  4. Step 4: Simplify right side
    109,387x = 8,919,275,134.32
  5. Step 5: Solve for x
    x = 8,919,275,134.32/109,387
  6. Step 6: Final answer
    x = 81,538.71

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Why These Related Problems?

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