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Finding the Fourth Proportional to 174,422, 261,672 and 63,614

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Solution

The fourth proportional to 174,422, 261,672 and 63,614 is: 95,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,422 : 261,672 = 63,614 : x
  2. Step 2: Convert to fraction form
    174,422/261,672 = 63,614/x
  3. Step 3: Cross multiply
    174,422x = 261,672 × 63,614
  4. Step 4: Simplify right side
    174,422x = 16,646,002,608
  5. Step 5: Solve for x
    x = 16,646,002,608/174,422
  6. Step 6: Final answer
    x = 95,435.22

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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.