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Finding the Fourth Proportional to 191,764.20, 287,544.97 and 85,101.82

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Solution

The fourth proportional to 191,764.20, 287,544.97 and 85,101.82 is: 127,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,764.20 : 287,544.97 = 85,101.82 : x
  2. Step 2: Convert to fraction form
    191,764.20/287,544.97 = 85,101.82/x
  3. Step 3: Cross multiply
    191,764.20x = 287,544.97 × 85,101.82
  4. Step 4: Simplify right side
    191,764.20x = 24,470,600,278.85
  5. Step 5: Solve for x
    x = 24,470,600,278.85/191,764.20
  6. Step 6: Final answer
    x = 127,607.76

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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.