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Finding the Fourth Proportional to 120,319.32, 180,504.08 and 36,076.08

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Solution

The fourth proportional to 120,319.32, 180,504.08 and 36,076.08 is: 54,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,319.32 : 180,504.08 = 36,076.08 : x
  2. Step 2: Convert to fraction form
    120,319.32/180,504.08 = 36,076.08/x
  3. Step 3: Cross multiply
    120,319.32x = 180,504.08 × 36,076.08
  4. Step 4: Simplify right side
    120,319.32x = 6,511,879,630.41
  5. Step 5: Solve for x
    x = 6,511,879,630.41/120,319.32
  6. Step 6: Final answer
    x = 54,121.65

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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.