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Finding the Fourth Proportional to 146,163.78, 201,599.52 and 111,786.17

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Solution

The fourth proportional to 146,163.78, 201,599.52 and 111,786.17 is: 154,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,163.78 : 201,599.52 = 111,786.17 : x
  2. Step 2: Convert to fraction form
    146,163.78/201,599.52 = 111,786.17/x
  3. Step 3: Cross multiply
    146,163.78x = 201,599.52 × 111,786.17
  4. Step 4: Simplify right side
    146,163.78x = 22,536,037,206.64
  5. Step 5: Solve for x
    x = 22,536,037,206.64/146,163.78
  6. Step 6: Final answer
    x = 154,183.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.