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Finding the Fourth Proportional to 146,375.91, 219,531.46 and 41,166.63

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Solution

The fourth proportional to 146,375.91, 219,531.46 and 41,166.63 is: 61,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,375.91 : 219,531.46 = 41,166.63 : x
  2. Step 2: Convert to fraction form
    146,375.91/219,531.46 = 41,166.63/x
  3. Step 3: Cross multiply
    146,375.91x = 219,531.46 × 41,166.63
  4. Step 4: Simplify right side
    146,375.91x = 9,037,369,083.69
  5. Step 5: Solve for x
    x = 9,037,369,083.69/146,375.91
  6. Step 6: Final answer
    x = 61,740.82

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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.