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Finding the Fourth Proportional to 120,180.66, 180,258.02 and 40,209.57

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Solution

The fourth proportional to 120,180.66, 180,258.02 and 40,209.57 is: 60,310.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,180.66 : 180,258.02 = 40,209.57 : x
  2. Step 2: Convert to fraction form
    120,180.66/180,258.02 = 40,209.57/x
  3. Step 3: Cross multiply
    120,180.66x = 180,258.02 × 40,209.57
  4. Step 4: Simplify right side
    120,180.66x = 7,248,097,272.20
  5. Step 5: Solve for x
    x = 7,248,097,272.20/120,180.66
  6. Step 6: Final answer
    x = 60,310.01

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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.