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Finding the Fourth Proportional to 180,024, 269,890.20 and 74,921.64

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Solution

The fourth proportional to 180,024, 269,890.20 and 74,921.64 is: 112,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,024 : 269,890.20 = 74,921.64 : x
  2. Step 2: Convert to fraction form
    180,024/269,890.20 = 74,921.64/x
  3. Step 3: Cross multiply
    180,024x = 269,890.20 × 74,921.64
  4. Step 4: Simplify right side
    180,024x = 20,220,616,403.93
  5. Step 5: Solve for x
    x = 20,220,616,403.93/180,024
  6. Step 6: Final answer
    x = 112,321.78

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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.