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Finding the Fourth Proportional to 115,233.50, 159,022.23 and 62,241.50

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Solution

The fourth proportional to 115,233.50, 159,022.23 and 62,241.50 is: 85,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,233.50 : 159,022.23 = 62,241.50 : x
  2. Step 2: Convert to fraction form
    115,233.50/159,022.23 = 62,241.50/x
  3. Step 3: Cross multiply
    115,233.50x = 159,022.23 × 62,241.50
  4. Step 4: Simplify right side
    115,233.50x = 9,897,782,128.55
  5. Step 5: Solve for x
    x = 9,897,782,128.55/115,233.50
  6. Step 6: Final answer
    x = 85,893.27

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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.