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Finding the Fourth Proportional to 180,157.50, 270,230.82 and 74,973.78

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Solution

The fourth proportional to 180,157.50, 270,230.82 and 74,973.78 is: 112,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,157.50 : 270,230.82 = 74,973.78 : x
  2. Step 2: Convert to fraction form
    180,157.50/270,230.82 = 74,973.78/x
  3. Step 3: Cross multiply
    180,157.50x = 270,230.82 × 74,973.78
  4. Step 4: Simplify right side
    180,157.50x = 20,260,226,047.90
  5. Step 5: Solve for x
    x = 20,260,226,047.90/180,157.50
  6. Step 6: Final answer
    x = 112,458.41

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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.