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Finding the Fourth Proportional to 149,147.86, 205,824.73 and 85,489.38

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Solution

The fourth proportional to 149,147.86, 205,824.73 and 85,489.38 is: 117,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,147.86 : 205,824.73 = 85,489.38 : x
  2. Step 2: Convert to fraction form
    149,147.86/205,824.73 = 85,489.38/x
  3. Step 3: Cross multiply
    149,147.86x = 205,824.73 × 85,489.38
  4. Step 4: Simplify right side
    149,147.86x = 17,595,828,556.37
  5. Step 5: Solve for x
    x = 17,595,828,556.37/149,147.86
  6. Step 6: Final answer
    x = 117,975.74

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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.