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Finding the Fourth Proportional to 179,971.50, 269,958.60 and 61,644

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Solution

The fourth proportional to 179,971.50, 269,958.60 and 61,644 is: 92,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,971.50 : 269,958.60 = 61,644 : x
  2. Step 2: Convert to fraction form
    179,971.50/269,958.60 = 61,644/x
  3. Step 3: Cross multiply
    179,971.50x = 269,958.60 × 61,644
  4. Step 4: Simplify right side
    179,971.50x = 16,641,327,938.40
  5. Step 5: Solve for x
    x = 16,641,327,938.40/179,971.50
  6. Step 6: Final answer
    x = 92,466.46

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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.