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Finding the Fourth Proportional to 147,142.56, 220,715.84 and 41,961.50

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Solution

The fourth proportional to 147,142.56, 220,715.84 and 41,961.50 is: 62,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,142.56 : 220,715.84 = 41,961.50 : x
  2. Step 2: Convert to fraction form
    147,142.56/220,715.84 = 41,961.50/x
  3. Step 3: Cross multiply
    147,142.56x = 220,715.84 × 41,961.50
  4. Step 4: Simplify right side
    147,142.56x = 9,261,567,720.16
  5. Step 5: Solve for x
    x = 9,261,567,720.16/147,142.56
  6. Step 6: Final answer
    x = 62,942.82

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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.