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Finding the Fourth Proportional to 465,162, 697,749.48 and 132,738

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Solution

The fourth proportional to 465,162, 697,749.48 and 132,738 is: 199,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,162 : 697,749.48 = 132,738 : x
  2. Step 2: Convert to fraction form
    465,162/697,749.48 = 132,738/x
  3. Step 3: Cross multiply
    465,162x = 697,749.48 × 132,738
  4. Step 4: Simplify right side
    465,162x = 92,617,870,476.24
  5. Step 5: Solve for x
    x = 92,617,870,476.24/465,162
  6. Step 6: Final answer
    x = 199,108.85

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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.