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Finding the Fourth Proportional to 180,327.84, 270,505.83 and 60,385.24

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Solution

The fourth proportional to 180,327.84, 270,505.83 and 60,385.24 is: 90,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,327.84 : 270,505.83 = 60,385.24 : x
  2. Step 2: Convert to fraction form
    180,327.84/270,505.83 = 60,385.24/x
  3. Step 3: Cross multiply
    180,327.84x = 270,505.83 × 60,385.24
  4. Step 4: Simplify right side
    180,327.84x = 16,334,559,164.02
  5. Step 5: Solve for x
    x = 16,334,559,164.02/180,327.84
  6. Step 6: Final answer
    x = 90,582.57

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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.