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Finding the Fourth Proportional to 182,193.98, 273,238.10 and 69,866

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Solution

The fourth proportional to 182,193.98, 273,238.10 and 69,866 is: 104,778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,193.98 : 273,238.10 = 69,866 : x
  2. Step 2: Convert to fraction form
    182,193.98/273,238.10 = 69,866/x
  3. Step 3: Cross multiply
    182,193.98x = 273,238.10 × 69,866
  4. Step 4: Simplify right side
    182,193.98x = 19,090,053,094.60
  5. Step 5: Solve for x
    x = 19,090,053,094.60/182,193.98
  6. Step 6: Final answer
    x = 104,778.73

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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.