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Finding the Fourth Proportional to 227,893.15, 341,856.35 and 78,132.17

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Solution

The fourth proportional to 227,893.15, 341,856.35 and 78,132.17 is: 117,203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,893.15 : 341,856.35 = 78,132.17 : x
  2. Step 2: Convert to fraction form
    227,893.15/341,856.35 = 78,132.17/x
  3. Step 3: Cross multiply
    227,893.15x = 341,856.35 × 78,132.17
  4. Step 4: Simplify right side
    227,893.15x = 26,709,978,249.28
  5. Step 5: Solve for x
    x = 26,709,978,249.28/227,893.15
  6. Step 6: Final answer
    x = 117,203.96

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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.