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Finding the Fourth Proportional to 226,568.94, 312,660 and 123,200.88

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Solution

The fourth proportional to 226,568.94, 312,660 and 123,200.88 is: 170,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,568.94 : 312,660 = 123,200.88 : x
  2. Step 2: Convert to fraction form
    226,568.94/312,660 = 123,200.88/x
  3. Step 3: Cross multiply
    226,568.94x = 312,660 × 123,200.88
  4. Step 4: Simplify right side
    226,568.94x = 38,519,987,140.80
  5. Step 5: Solve for x
    x = 38,519,987,140.80/226,568.94
  6. Step 6: Final answer
    x = 170,014.42

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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.