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Finding the Fourth Proportional to 107,906.08, 161,857.20 and 41,328.16

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Solution

The fourth proportional to 107,906.08, 161,857.20 and 41,328.16 is: 61,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,906.08 : 161,857.20 = 41,328.16 : x
  2. Step 2: Convert to fraction form
    107,906.08/161,857.20 = 41,328.16/x
  3. Step 3: Cross multiply
    107,906.08x = 161,857.20 × 41,328.16
  4. Step 4: Simplify right side
    107,906.08x = 6,689,260,258.75
  5. Step 5: Solve for x
    x = 6,689,260,258.75/107,906.08
  6. Step 6: Final answer
    x = 61,991.50

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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.