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Finding the Fourth Proportional to 106,151.91, 159,227.86 and 27,266.21

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Solution

The fourth proportional to 106,151.91, 159,227.86 and 27,266.21 is: 40,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,151.91 : 159,227.86 = 27,266.21 : x
  2. Step 2: Convert to fraction form
    106,151.91/159,227.86 = 27,266.21/x
  3. Step 3: Cross multiply
    106,151.91x = 159,227.86 × 27,266.21
  4. Step 4: Simplify right side
    106,151.91x = 4,341,540,268.61
  5. Step 5: Solve for x
    x = 4,341,540,268.61/106,151.91
  6. Step 6: Final answer
    x = 40,899.31

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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.