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Finding the Fourth Proportional to 106,816.48, 160,138.32 and 65,249.44

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Solution

The fourth proportional to 106,816.48, 160,138.32 and 65,249.44 is: 97,821.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,816.48 : 160,138.32 = 65,249.44 : x
  2. Step 2: Convert to fraction form
    106,816.48/160,138.32 = 65,249.44/x
  3. Step 3: Cross multiply
    106,816.48x = 160,138.32 × 65,249.44
  4. Step 4: Simplify right side
    106,816.48x = 10,448,935,702.54
  5. Step 5: Solve for x
    x = 10,448,935,702.54/106,816.48
  6. Step 6: Final answer
    x = 97,821.38

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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.