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Finding the Fourth Proportional to 174,424, 261,675 and 63,616

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Solution

The fourth proportional to 174,424, 261,675 and 63,616 is: 95,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,424 : 261,675 = 63,616 : x
  2. Step 2: Convert to fraction form
    174,424/261,675 = 63,616/x
  3. Step 3: Cross multiply
    174,424x = 261,675 × 63,616
  4. Step 4: Simplify right side
    174,424x = 16,646,716,800
  5. Step 5: Solve for x
    x = 16,646,716,800/174,424
  6. Step 6: Final answer
    x = 95,438.22

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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.