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Finding the Fourth Proportional to 164,058, 246,107.50 and 64,205.28

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Solution

The fourth proportional to 164,058, 246,107.50 and 64,205.28 is: 96,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,058 : 246,107.50 = 64,205.28 : x
  2. Step 2: Convert to fraction form
    164,058/246,107.50 = 64,205.28/x
  3. Step 3: Cross multiply
    164,058x = 246,107.50 × 64,205.28
  4. Step 4: Simplify right side
    164,058x = 15,801,400,947.60
  5. Step 5: Solve for x
    x = 15,801,400,947.60/164,058
  6. Step 6: Final answer
    x = 96,315.94

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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.