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Finding the Fourth Proportional to 149,400, 206,166.01 and 81,415.53

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Solution

The fourth proportional to 149,400, 206,166.01 and 81,415.53 is: 112,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,400 : 206,166.01 = 81,415.53 : x
  2. Step 2: Convert to fraction form
    149,400/206,166.01 = 81,415.53/x
  3. Step 3: Cross multiply
    149,400x = 206,166.01 × 81,415.53
  4. Step 4: Simplify right side
    149,400x = 16,785,114,972.14
  5. Step 5: Solve for x
    x = 16,785,114,972.14/149,400
  6. Step 6: Final answer
    x = 112,350.17

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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.