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Finding the Fourth Proportional to 137,166.78, 205,766.37 and 58,237.14

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Solution

The fourth proportional to 137,166.78, 205,766.37 and 58,237.14 is: 87,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,166.78 : 205,766.37 = 58,237.14 : x
  2. Step 2: Convert to fraction form
    137,166.78/205,766.37 = 58,237.14/x
  3. Step 3: Cross multiply
    137,166.78x = 205,766.37 × 58,237.14
  4. Step 4: Simplify right side
    137,166.78x = 11,983,244,896.98
  5. Step 5: Solve for x
    x = 11,983,244,896.98/137,166.78
  6. Step 6: Final answer
    x = 87,362.59

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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.