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Finding the Fourth Proportional to 118,906.44, 178,340.22 and 35,781

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Solution

The fourth proportional to 118,906.44, 178,340.22 and 35,781 is: 53,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,906.44 : 178,340.22 = 35,781 : x
  2. Step 2: Convert to fraction form
    118,906.44/178,340.22 = 35,781/x
  3. Step 3: Cross multiply
    118,906.44x = 178,340.22 × 35,781
  4. Step 4: Simplify right side
    118,906.44x = 6,381,191,411.82
  5. Step 5: Solve for x
    x = 6,381,191,411.82/118,906.44
  6. Step 6: Final answer
    x = 53,665.65

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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.