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Finding the Fourth Proportional to 109,933.70, 164,803.35 and 65,513.30

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Solution

The fourth proportional to 109,933.70, 164,803.35 and 65,513.30 is: 98,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,933.70 : 164,803.35 = 65,513.30 : x
  2. Step 2: Convert to fraction form
    109,933.70/164,803.35 = 65,513.30/x
  3. Step 3: Cross multiply
    109,933.70x = 164,803.35 × 65,513.30
  4. Step 4: Simplify right side
    109,933.70x = 10,796,811,309.56
  5. Step 5: Solve for x
    x = 10,796,811,309.56/109,933.70
  6. Step 6: Final answer
    x = 98,212.03

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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.