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Finding the Fourth Proportional to 465,165, 697,753.98 and 132,741

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Solution

The fourth proportional to 465,165, 697,753.98 and 132,741 is: 199,113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,165 : 697,753.98 = 132,741 : x
  2. Step 2: Convert to fraction form
    465,165/697,753.98 = 132,741/x
  3. Step 3: Cross multiply
    465,165x = 697,753.98 × 132,741
  4. Step 4: Simplify right side
    465,165x = 92,620,561,059.18
  5. Step 5: Solve for x
    x = 92,620,561,059.18/465,165
  6. Step 6: Final answer
    x = 199,113.35

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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.