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Finding the Fourth Proportional to 191,947.68, 264,834 and 111,359.20

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Solution

The fourth proportional to 191,947.68, 264,834 and 111,359.20 is: 153,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,947.68 : 264,834 = 111,359.20 : x
  2. Step 2: Convert to fraction form
    191,947.68/264,834 = 111,359.20/x
  3. Step 3: Cross multiply
    191,947.68x = 264,834 × 111,359.20
  4. Step 4: Simplify right side
    191,947.68x = 29,491,702,372.80
  5. Step 5: Solve for x
    x = 29,491,702,372.80/191,947.68
  6. Step 6: Final answer
    x = 153,644.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.