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Finding the Fourth Proportional to 191,969.96, 287,979.24 and 65,634.44

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Solution

The fourth proportional to 191,969.96, 287,979.24 and 65,634.44 is: 98,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,969.96 : 287,979.24 = 65,634.44 : x
  2. Step 2: Convert to fraction form
    191,969.96/287,979.24 = 65,634.44/x
  3. Step 3: Cross multiply
    191,969.96x = 287,979.24 × 65,634.44
  4. Step 4: Simplify right side
    191,969.96x = 18,901,356,149.03
  5. Step 5: Solve for x
    x = 18,901,356,149.03/191,969.96
  6. Step 6: Final answer
    x = 98,459.97

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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.