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Finding the Fourth Proportional to 109,396.40, 164,224.20 and 62,049.20

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Solution

The fourth proportional to 109,396.40, 164,224.20 and 62,049.20 is: 93,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,396.40 : 164,224.20 = 62,049.20 : x
  2. Step 2: Convert to fraction form
    109,396.40/164,224.20 = 62,049.20/x
  3. Step 3: Cross multiply
    109,396.40x = 164,224.20 × 62,049.20
  4. Step 4: Simplify right side
    109,396.40x = 10,189,980,230.64
  5. Step 5: Solve for x
    x = 10,189,980,230.64/109,396.40
  6. Step 6: Final answer
    x = 93,147.31

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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.