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Finding the Fourth Proportional to 97,411.90, 146,119.29 and 27,286.78

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Solution

The fourth proportional to 97,411.90, 146,119.29 and 27,286.78 is: 40,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,411.90 : 146,119.29 = 27,286.78 : x
  2. Step 2: Convert to fraction form
    97,411.90/146,119.29 = 27,286.78/x
  3. Step 3: Cross multiply
    97,411.90x = 146,119.29 × 27,286.78
  4. Step 4: Simplify right side
    97,411.90x = 3,987,124,919.99
  5. Step 5: Solve for x
    x = 3,987,124,919.99/97,411.90
  6. Step 6: Final answer
    x = 40,930.57

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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.