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Finding the Fourth Proportional to 146,415.88, 219,627.42 and 41,234.14

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Solution

The fourth proportional to 146,415.88, 219,627.42 and 41,234.14 is: 61,852.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,415.88 : 219,627.42 = 41,234.14 : x
  2. Step 2: Convert to fraction form
    146,415.88/219,627.42 = 41,234.14/x
  3. Step 3: Cross multiply
    146,415.88x = 219,627.42 × 41,234.14
  4. Step 4: Simplify right side
    146,415.88x = 9,056,147,784.12
  5. Step 5: Solve for x
    x = 9,056,147,784.12/146,415.88
  6. Step 6: Final answer
    x = 61,852.22

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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.