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Finding the Fourth Proportional to 164,892.56, 247,310.16 and 76,138.52

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Solution

The fourth proportional to 164,892.56, 247,310.16 and 76,138.52 is: 114,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,892.56 : 247,310.16 = 76,138.52 : x
  2. Step 2: Convert to fraction form
    164,892.56/247,310.16 = 76,138.52/x
  3. Step 3: Cross multiply
    164,892.56x = 247,310.16 × 76,138.52
  4. Step 4: Simplify right side
    164,892.56x = 18,829,829,563.36
  5. Step 5: Solve for x
    x = 18,829,829,563.36/164,892.56
  6. Step 6: Final answer
    x = 114,194.54

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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.