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Finding the Fourth Proportional to 106,101.28, 159,151.96 and 27,215.50

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Solution

The fourth proportional to 106,101.28, 159,151.96 and 27,215.50 is: 40,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,101.28 : 159,151.96 = 27,215.50 : x
  2. Step 2: Convert to fraction form
    106,101.28/159,151.96 = 27,215.50/x
  3. Step 3: Cross multiply
    106,101.28x = 159,151.96 × 27,215.50
  4. Step 4: Simplify right side
    106,101.28x = 4,331,400,167.38
  5. Step 5: Solve for x
    x = 4,331,400,167.38/106,101.28
  6. Step 6: Final answer
    x = 40,823.26

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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.