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Finding the Fourth Proportional to 465,161, 697,747.98 and 132,737

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Solution

The fourth proportional to 465,161, 697,747.98 and 132,737 is: 199,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,161 : 697,747.98 = 132,737 : x
  2. Step 2: Convert to fraction form
    465,161/697,747.98 = 132,737/x
  3. Step 3: Cross multiply
    465,161x = 697,747.98 × 132,737
  4. Step 4: Simplify right side
    465,161x = 92,616,973,621.26
  5. Step 5: Solve for x
    x = 92,616,973,621.26/465,161
  6. Step 6: Final answer
    x = 199,107.35

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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.