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Finding the Fourth Proportional to 363,945.57, 545,969.32 and 127,234.41

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Solution

The fourth proportional to 363,945.57, 545,969.32 and 127,234.41 is: 190,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,945.57 : 545,969.32 = 127,234.41 : x
  2. Step 2: Convert to fraction form
    363,945.57/545,969.32 = 127,234.41/x
  3. Step 3: Cross multiply
    363,945.57x = 545,969.32 × 127,234.41
  4. Step 4: Simplify right side
    363,945.57x = 69,466,083,990.22
  5. Step 5: Solve for x
    x = 69,466,083,990.22/363,945.57
  6. Step 6: Final answer
    x = 190,869.43

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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.