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Finding the Fourth Proportional to 106,101.73, 159,148.81 and 27,216.73

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Solution

The fourth proportional to 106,101.73, 159,148.81 and 27,216.73 is: 40,824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,101.73 : 159,148.81 = 27,216.73 : x
  2. Step 2: Convert to fraction form
    106,101.73/159,148.81 = 27,216.73/x
  3. Step 3: Cross multiply
    106,101.73x = 159,148.81 × 27,216.73
  4. Step 4: Simplify right side
    106,101.73x = 4,331,510,191.59
  5. Step 5: Solve for x
    x = 4,331,510,191.59/106,101.73
  6. Step 6: Final answer
    x = 40,824.12

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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.