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Finding the Fourth Proportional to 120,118.98, 180,162.27 and 31,365.30

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Solution

The fourth proportional to 120,118.98, 180,162.27 and 31,365.30 is: 47,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,118.98 : 180,162.27 = 31,365.30 : x
  2. Step 2: Convert to fraction form
    120,118.98/180,162.27 = 31,365.30/x
  3. Step 3: Cross multiply
    120,118.98x = 180,162.27 × 31,365.30
  4. Step 4: Simplify right side
    120,118.98x = 5,650,843,647.23
  5. Step 5: Solve for x
    x = 5,650,843,647.23/120,118.98
  6. Step 6: Final answer
    x = 47,043.72

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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.