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Finding the Fourth Proportional to 149,816.90, 206,745.90 and 81,833.84

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Solution

The fourth proportional to 149,816.90, 206,745.90 and 81,833.84 is: 112,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,816.90 : 206,745.90 = 81,833.84 : x
  2. Step 2: Convert to fraction form
    149,816.90/206,745.90 = 81,833.84/x
  3. Step 3: Cross multiply
    149,816.90x = 206,745.90 × 81,833.84
  4. Step 4: Simplify right side
    149,816.90x = 16,918,809,867.53
  5. Step 5: Solve for x
    x = 16,918,809,867.53/149,816.90
  6. Step 6: Final answer
    x = 112,929.92

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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.