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Finding the Fourth Proportional to 165,243.75, 247,865.11 and 46,915.17

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Solution

The fourth proportional to 165,243.75, 247,865.11 and 46,915.17 is: 70,372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,243.75 : 247,865.11 = 46,915.17 : x
  2. Step 2: Convert to fraction form
    165,243.75/247,865.11 = 46,915.17/x
  3. Step 3: Cross multiply
    165,243.75x = 247,865.11 × 46,915.17
  4. Step 4: Simplify right side
    165,243.75x = 11,628,633,772.72
  5. Step 5: Solve for x
    x = 11,628,633,772.72/165,243.75
  6. Step 6: Final answer
    x = 70,372.61

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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.