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Finding the Fourth Proportional to 120,169.98, 180,265.50 and 31,423.14

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Solution

The fourth proportional to 120,169.98, 180,265.50 and 31,423.14 is: 47,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,169.98 : 180,265.50 = 31,423.14 : x
  2. Step 2: Convert to fraction form
    120,169.98/180,265.50 = 31,423.14/x
  3. Step 3: Cross multiply
    120,169.98x = 180,265.50 × 31,423.14
  4. Step 4: Simplify right side
    120,169.98x = 5,664,508,043.67
  5. Step 5: Solve for x
    x = 5,664,508,043.67/120,169.98
  6. Step 6: Final answer
    x = 47,137.46

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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.