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Finding the Fourth Proportional to 120,078.27, 180,117.54 and 31,331.70

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Solution

The fourth proportional to 120,078.27, 180,117.54 and 31,331.70 is: 46,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.27 : 180,117.54 = 31,331.70 : x
  2. Step 2: Convert to fraction form
    120,078.27/180,117.54 = 31,331.70/x
  3. Step 3: Cross multiply
    120,078.27x = 180,117.54 × 31,331.70
  4. Step 4: Simplify right side
    120,078.27x = 5,643,388,728.02
  5. Step 5: Solve for x
    x = 5,643,388,728.02/120,078.27
  6. Step 6: Final answer
    x = 46,997.59

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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.