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Finding the Fourth Proportional to 120,693.63, 180,999.44 and 41,789.41

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Solution

The fourth proportional to 120,693.63, 180,999.44 and 41,789.41 is: 62,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,693.63 : 180,999.44 = 41,789.41 : x
  2. Step 2: Convert to fraction form
    120,693.63/180,999.44 = 41,789.41/x
  3. Step 3: Cross multiply
    120,693.63x = 180,999.44 × 41,789.41
  4. Step 4: Simplify right side
    120,693.63x = 7,563,859,807.93
  5. Step 5: Solve for x
    x = 7,563,859,807.93/120,693.63
  6. Step 6: Final answer
    x = 62,669.92

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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.