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Finding the Fourth Proportional to 146,287.24, 219,439.05 and 41,098

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Solution

The fourth proportional to 146,287.24, 219,439.05 and 41,098 is: 61,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,287.24 : 219,439.05 = 41,098 : x
  2. Step 2: Convert to fraction form
    146,287.24/219,439.05 = 41,098/x
  3. Step 3: Cross multiply
    146,287.24x = 219,439.05 × 41,098
  4. Step 4: Simplify right side
    146,287.24x = 9,018,506,076.90
  5. Step 5: Solve for x
    x = 9,018,506,076.90/146,287.24
  6. Step 6: Final answer
    x = 61,649.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.