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Finding the Fourth Proportional to 149,073.99, 205,725.86 and 81,094.78

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Solution

The fourth proportional to 149,073.99, 205,725.86 and 81,094.78 is: 111,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,073.99 : 205,725.86 = 81,094.78 : x
  2. Step 2: Convert to fraction form
    149,073.99/205,725.86 = 81,094.78/x
  3. Step 3: Cross multiply
    149,073.99x = 205,725.86 × 81,094.78
  4. Step 4: Simplify right side
    149,073.99x = 16,683,293,357.01
  5. Step 5: Solve for x
    x = 16,683,293,357.01/149,073.99
  6. Step 6: Final answer
    x = 111,912.84

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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.