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Finding the Fourth Proportional to 173,833.75, 260,772.90 and 49,174.75

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Solution

The fourth proportional to 173,833.75, 260,772.90 and 49,174.75 is: 73,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,833.75 : 260,772.90 = 49,174.75 : x
  2. Step 2: Convert to fraction form
    173,833.75/260,772.90 = 49,174.75/x
  3. Step 3: Cross multiply
    173,833.75x = 260,772.90 × 49,174.75
  4. Step 4: Simplify right side
    173,833.75x = 12,823,442,164.28
  5. Step 5: Solve for x
    x = 12,823,442,164.28/173,833.75
  6. Step 6: Final answer
    x = 73,768.43

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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.