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Finding the Fourth Proportional to 149,394.01, 206,163.74 and 81,410.96

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Solution

The fourth proportional to 149,394.01, 206,163.74 and 81,410.96 is: 112,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,394.01 : 206,163.74 = 81,410.96 : x
  2. Step 2: Convert to fraction form
    149,394.01/206,163.74 = 81,410.96/x
  3. Step 3: Cross multiply
    149,394.01x = 206,163.74 × 81,410.96
  4. Step 4: Simplify right side
    149,394.01x = 16,783,988,709.53
  5. Step 5: Solve for x
    x = 16,783,988,709.53/149,394.01
  6. Step 6: Final answer
    x = 112,347.13

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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.