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Finding the Fourth Proportional to 120,605.40, 180,925.92 and 41,698.44

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Solution

The fourth proportional to 120,605.40, 180,925.92 and 41,698.44 is: 62,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,605.40 : 180,925.92 = 41,698.44 : x
  2. Step 2: Convert to fraction form
    120,605.40/180,925.92 = 41,698.44/x
  3. Step 3: Cross multiply
    120,605.40x = 180,925.92 × 41,698.44
  4. Step 4: Simplify right side
    120,605.40x = 7,544,328,619.56
  5. Step 5: Solve for x
    x = 7,544,328,619.56/120,605.40
  6. Step 6: Final answer
    x = 62,553.82

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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.