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Finding the Fourth Proportional to 191,764.23, 287,687.85 and 73,435.56

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Solution

The fourth proportional to 191,764.23, 287,687.85 and 73,435.56 is: 110,169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,764.23 : 287,687.85 = 73,435.56 : x
  2. Step 2: Convert to fraction form
    191,764.23/287,687.85 = 73,435.56/x
  3. Step 3: Cross multiply
    191,764.23x = 287,687.85 × 73,435.56
  4. Step 4: Simplify right side
    191,764.23x = 21,126,518,369.95
  5. Step 5: Solve for x
    x = 21,126,518,369.95/191,764.23
  6. Step 6: Final answer
    x = 110,169.23

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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.