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Finding the Fourth Proportional to 109,859.70, 164,757.15 and 43,277.70

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Solution

The fourth proportional to 109,859.70, 164,757.15 and 43,277.70 is: 64,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,859.70 : 164,757.15 = 43,277.70 : x
  2. Step 2: Convert to fraction form
    109,859.70/164,757.15 = 43,277.70/x
  3. Step 3: Cross multiply
    109,859.70x = 164,757.15 × 43,277.70
  4. Step 4: Simplify right side
    109,859.70x = 7,130,310,510.56
  5. Step 5: Solve for x
    x = 7,130,310,510.56/109,859.70
  6. Step 6: Final answer
    x = 64,903.79

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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.