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Finding the Fourth Proportional to 465,166, 697,755.48 and 132,742

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Solution

The fourth proportional to 465,166, 697,755.48 and 132,742 is: 199,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,166 : 697,755.48 = 132,742 : x
  2. Step 2: Convert to fraction form
    465,166/697,755.48 = 132,742/x
  3. Step 3: Cross multiply
    465,166x = 697,755.48 × 132,742
  4. Step 4: Simplify right side
    465,166x = 92,621,457,926.16
  5. Step 5: Solve for x
    x = 92,621,457,926.16/465,166
  6. Step 6: Final answer
    x = 199,114.85

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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.