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Finding the Fourth Proportional to 174,532, 261,798 and 43,204

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Solution

The fourth proportional to 174,532, 261,798 and 43,204 is: 64,806

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,532 : 261,798 = 43,204 : x
  2. Step 2: Convert to fraction form
    174,532/261,798 = 43,204/x
  3. Step 3: Cross multiply
    174,532x = 261,798 × 43,204
  4. Step 4: Simplify right side
    174,532x = 11,310,720,792
  5. Step 5: Solve for x
    x = 11,310,720,792/174,532
  6. Step 6: Final answer
    x = 64,806

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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.