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Finding the Fourth Proportional to 149,583, 206,428.41 and 81,601.10

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Solution

The fourth proportional to 149,583, 206,428.41 and 81,601.10 is: 112,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,583 : 206,428.41 = 81,601.10 : x
  2. Step 2: Convert to fraction form
    149,583/206,428.41 = 81,601.10/x
  3. Step 3: Cross multiply
    149,583x = 206,428.41 × 81,601.10
  4. Step 4: Simplify right side
    149,583x = 16,844,785,327.25
  5. Step 5: Solve for x
    x = 16,844,785,327.25/149,583
  6. Step 6: Final answer
    x = 112,611.63

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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.