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Finding the Fourth Proportional to 174,414, 261,660 and 63,606

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Solution

The fourth proportional to 174,414, 261,660 and 63,606 is: 95,423.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,414 : 261,660 = 63,606 : x
  2. Step 2: Convert to fraction form
    174,414/261,660 = 63,606/x
  3. Step 3: Cross multiply
    174,414x = 261,660 × 63,606
  4. Step 4: Simplify right side
    174,414x = 16,643,145,960
  5. Step 5: Solve for x
    x = 16,643,145,960/174,414
  6. Step 6: Final answer
    x = 95,423.22

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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.