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Finding the Fourth Proportional to 123,067, 169,832.46 and 66,478.38

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Solution

The fourth proportional to 123,067, 169,832.46 and 66,478.38 is: 91,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,067 : 169,832.46 = 66,478.38 : x
  2. Step 2: Convert to fraction form
    123,067/169,832.46 = 66,478.38/x
  3. Step 3: Cross multiply
    123,067x = 169,832.46 × 66,478.38
  4. Step 4: Simplify right side
    123,067x = 11,290,186,812.21
  5. Step 5: Solve for x
    x = 11,290,186,812.21/123,067
  6. Step 6: Final answer
    x = 91,740.16

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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.