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Finding the Fourth Proportional to 191,616.50, 287,469.26 and 65,257.83

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Solution

The fourth proportional to 191,616.50, 287,469.26 and 65,257.83 is: 97,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,616.50 : 287,469.26 = 65,257.83 : x
  2. Step 2: Convert to fraction form
    191,616.50/287,469.26 = 65,257.83/x
  3. Step 3: Cross multiply
    191,616.50x = 287,469.26 × 65,257.83
  4. Step 4: Simplify right side
    191,616.50x = 18,759,620,262.45
  5. Step 5: Solve for x
    x = 18,759,620,262.45/191,616.50
  6. Step 6: Final answer
    x = 97,901.91

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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.