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Finding the Fourth Proportional to 191,897.92, 287,777.76 and 81,098.56

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Solution

The fourth proportional to 191,897.92, 287,777.76 and 81,098.56 is: 121,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,897.92 : 287,777.76 = 81,098.56 : x
  2. Step 2: Convert to fraction form
    191,897.92/287,777.76 = 81,098.56/x
  3. Step 3: Cross multiply
    191,897.92x = 287,777.76 × 81,098.56
  4. Step 4: Simplify right side
    191,897.92x = 23,338,361,936.03
  5. Step 5: Solve for x
    x = 23,338,361,936.03/191,897.92
  6. Step 6: Final answer
    x = 121,618.63

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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.