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Finding the Fourth Proportional to 165,424.05, 228,211.97 and 101,724.21

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Solution

The fourth proportional to 165,424.05, 228,211.97 and 101,724.21 is: 140,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,424.05 : 228,211.97 = 101,724.21 : x
  2. Step 2: Convert to fraction form
    165,424.05/228,211.97 = 101,724.21/x
  3. Step 3: Cross multiply
    165,424.05x = 228,211.97 × 101,724.21
  4. Step 4: Simplify right side
    165,424.05x = 23,214,682,360.79
  5. Step 5: Solve for x
    x = 23,214,682,360.79/165,424.05
  6. Step 6: Final answer
    x = 140,334.39

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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.