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Finding the Fourth Proportional to 106,997.92, 160,496.16 and 83,644

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Solution

The fourth proportional to 106,997.92, 160,496.16 and 83,644 is: 125,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,997.92 : 160,496.16 = 83,644 : x
  2. Step 2: Convert to fraction form
    106,997.92/160,496.16 = 83,644/x
  3. Step 3: Cross multiply
    106,997.92x = 160,496.16 × 83,644
  4. Step 4: Simplify right side
    106,997.92x = 13,424,540,807.04
  5. Step 5: Solve for x
    x = 13,424,540,807.04/106,997.92
  6. Step 6: Final answer
    x = 125,465.44

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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.