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Finding the Fourth Proportional to 109,416.38, 150,994.62 and 59,115.38

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Solution

The fourth proportional to 109,416.38, 150,994.62 and 59,115.38 is: 81,579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,416.38 : 150,994.62 = 59,115.38 : x
  2. Step 2: Convert to fraction form
    109,416.38/150,994.62 = 59,115.38/x
  3. Step 3: Cross multiply
    109,416.38x = 150,994.62 × 59,115.38
  4. Step 4: Simplify right side
    109,416.38x = 8,926,103,584.28
  5. Step 5: Solve for x
    x = 8,926,103,584.28/109,416.38
  6. Step 6: Final answer
    x = 81,579.23

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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.