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Finding the Fourth Proportional to 191,814.21, 287,520.66 and 65,410.20

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Solution

The fourth proportional to 191,814.21, 287,520.66 and 65,410.20 is: 98,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,814.21 : 287,520.66 = 65,410.20 : x
  2. Step 2: Convert to fraction form
    191,814.21/287,520.66 = 65,410.20/x
  3. Step 3: Cross multiply
    191,814.21x = 287,520.66 × 65,410.20
  4. Step 4: Simplify right side
    191,814.21x = 18,806,783,874.73
  5. Step 5: Solve for x
    x = 18,806,783,874.73/191,814.21
  6. Step 6: Final answer
    x = 98,046.88

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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.