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Finding the Fourth Proportional to 165,893.76, 248,943.84 and 67,397.76

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Solution

The fourth proportional to 165,893.76, 248,943.84 and 67,397.76 is: 101,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,893.76 : 248,943.84 = 67,397.76 : x
  2. Step 2: Convert to fraction form
    165,893.76/248,943.84 = 67,397.76/x
  3. Step 3: Cross multiply
    165,893.76x = 248,943.84 × 67,397.76
  4. Step 4: Simplify right side
    165,893.76x = 16,778,257,181.80
  5. Step 5: Solve for x
    x = 16,778,257,181.80/165,893.76
  6. Step 6: Final answer
    x = 101,138.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.