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Finding the Fourth Proportional to 180,258.12, 270,367.71 and 60,301.48

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Solution

The fourth proportional to 180,258.12, 270,367.71 and 60,301.48 is: 90,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,258.12 : 270,367.71 = 60,301.48 : x
  2. Step 2: Convert to fraction form
    180,258.12/270,367.71 = 60,301.48/x
  3. Step 3: Cross multiply
    180,258.12x = 270,367.71 × 60,301.48
  4. Step 4: Simplify right side
    180,258.12x = 16,303,573,057.21
  5. Step 5: Solve for x
    x = 16,303,573,057.21/180,258.12
  6. Step 6: Final answer
    x = 90,445.71

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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.