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Finding the Fourth Proportional to 120,038.98, 180,067.23 and 41,152.54

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Solution

The fourth proportional to 120,038.98, 180,067.23 and 41,152.54 is: 61,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,038.98 : 180,067.23 = 41,152.54 : x
  2. Step 2: Convert to fraction form
    120,038.98/180,067.23 = 41,152.54/x
  3. Step 3: Cross multiply
    120,038.98x = 180,067.23 × 41,152.54
  4. Step 4: Simplify right side
    120,038.98x = 7,410,223,885.26
  5. Step 5: Solve for x
    x = 7,410,223,885.26/120,038.98
  6. Step 6: Final answer
    x = 61,731.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.