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Finding the Fourth Proportional to 174,417, 261,664.50 and 63,609

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Solution

The fourth proportional to 174,417, 261,664.50 and 63,609 is: 95,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,417 : 261,664.50 = 63,609 : x
  2. Step 2: Convert to fraction form
    174,417/261,664.50 = 63,609/x
  3. Step 3: Cross multiply
    174,417x = 261,664.50 × 63,609
  4. Step 4: Simplify right side
    174,417x = 16,644,217,180.50
  5. Step 5: Solve for x
    x = 16,644,217,180.50/174,417
  6. Step 6: Final answer
    x = 95,427.72

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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.