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Finding the Fourth Proportional to 149,015.90, 205,626.39 and 85,356.38

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Solution

The fourth proportional to 149,015.90, 205,626.39 and 85,356.38 is: 117,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,015.90 : 205,626.39 = 85,356.38 : x
  2. Step 2: Convert to fraction form
    149,015.90/205,626.39 = 85,356.38/x
  3. Step 3: Cross multiply
    149,015.90x = 205,626.39 × 85,356.38
  4. Step 4: Simplify right side
    149,015.90x = 17,551,524,282.87
  5. Step 5: Solve for x
    x = 17,551,524,282.87/149,015.90
  6. Step 6: Final answer
    x = 117,782.90

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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.