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Finding the Fourth Proportional to 109,199.69, 150,695.10 and 61,453.85

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Solution

The fourth proportional to 109,199.69, 150,695.10 and 61,453.85 is: 84,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,199.69 : 150,695.10 = 61,453.85 : x
  2. Step 2: Convert to fraction form
    109,199.69/150,695.10 = 61,453.85/x
  3. Step 3: Cross multiply
    109,199.69x = 150,695.10 × 61,453.85
  4. Step 4: Simplify right side
    109,199.69x = 9,260,794,071.14
  5. Step 5: Solve for x
    x = 9,260,794,071.14/109,199.69
  6. Step 6: Final answer
    x = 84,806.05

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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.