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Finding the Fourth Proportional to 164,970.90, 247,469.31 and 46,640.34

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Solution

The fourth proportional to 164,970.90, 247,469.31 and 46,640.34 is: 69,964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,970.90 : 247,469.31 = 46,640.34 : x
  2. Step 2: Convert to fraction form
    164,970.90/247,469.31 = 46,640.34/x
  3. Step 3: Cross multiply
    164,970.90x = 247,469.31 × 46,640.34
  4. Step 4: Simplify right side
    164,970.90x = 11,542,052,757.97
  5. Step 5: Solve for x
    x = 11,542,052,757.97/164,970.90
  6. Step 6: Final answer
    x = 69,964.17

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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.