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Finding the Fourth Proportional to 191,893.92, 287,771.76 and 81,094.56

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Solution

The fourth proportional to 191,893.92, 287,771.76 and 81,094.56 is: 121,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,893.92 : 287,771.76 = 81,094.56 : x
  2. Step 2: Convert to fraction form
    191,893.92/287,771.76 = 81,094.56/x
  3. Step 3: Cross multiply
    191,893.92x = 287,771.76 × 81,094.56
  4. Step 4: Simplify right side
    191,893.92x = 23,336,724,257.63
  5. Step 5: Solve for x
    x = 23,336,724,257.63/191,893.92
  6. Step 6: Final answer
    x = 121,612.63

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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.