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Finding the Fourth Proportional to 109,747.80, 164,621.70 and 65,424.60

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Solution

The fourth proportional to 109,747.80, 164,621.70 and 65,424.60 is: 98,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,747.80 : 164,621.70 = 65,424.60 : x
  2. Step 2: Convert to fraction form
    109,747.80/164,621.70 = 65,424.60/x
  3. Step 3: Cross multiply
    109,747.80x = 164,621.70 × 65,424.60
  4. Step 4: Simplify right side
    109,747.80x = 10,770,308,873.82
  5. Step 5: Solve for x
    x = 10,770,308,873.82/109,747.80
  6. Step 6: Final answer
    x = 98,136.90

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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.