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Finding the Fourth Proportional to 232,420.74, 347,883.72 and 119,947.77

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Solution

The fourth proportional to 232,420.74, 347,883.72 and 119,947.77 is: 179,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,420.74 : 347,883.72 = 119,947.77 : x
  2. Step 2: Convert to fraction form
    232,420.74/347,883.72 = 119,947.77/x
  3. Step 3: Cross multiply
    232,420.74x = 347,883.72 × 119,947.77
  4. Step 4: Simplify right side
    232,420.74x = 41,727,876,433.30
  5. Step 5: Solve for x
    x = 41,727,876,433.30/232,420.74
  6. Step 6: Final answer
    x = 179,535.94

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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.