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Finding the Fourth Proportional to 193,233.58, 289,846.01 and 66,866.20

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Solution

The fourth proportional to 193,233.58, 289,846.01 and 66,866.20 is: 100,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,233.58 : 289,846.01 = 66,866.20 : x
  2. Step 2: Convert to fraction form
    193,233.58/289,846.01 = 66,866.20/x
  3. Step 3: Cross multiply
    193,233.58x = 289,846.01 × 66,866.20
  4. Step 4: Simplify right side
    193,233.58x = 19,380,901,825.50
  5. Step 5: Solve for x
    x = 19,380,901,825.50/193,233.58
  6. Step 6: Final answer
    x = 100,297.79

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1.5x scale

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.