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Finding the Fourth Proportional to 191,987.43, 287,747.64 and 135,843.75

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Solution

The fourth proportional to 191,987.43, 287,747.64 and 135,843.75 is: 203,600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,987.43 : 287,747.64 = 135,843.75 : x
  2. Step 2: Convert to fraction form
    191,987.43/287,747.64 = 135,843.75/x
  3. Step 3: Cross multiply
    191,987.43x = 287,747.64 × 135,843.75
  4. Step 4: Simplify right side
    191,987.43x = 39,088,718,471.25
  5. Step 5: Solve for x
    x = 39,088,718,471.25/191,987.43
  6. Step 6: Final answer
    x = 203,600.40

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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.