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Finding the Fourth Proportional to 146,861.91, 220,292.46 and 41,680.98

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Solution

The fourth proportional to 146,861.91, 220,292.46 and 41,680.98 is: 62,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,861.91 : 220,292.46 = 41,680.98 : x
  2. Step 2: Convert to fraction form
    146,861.91/220,292.46 = 41,680.98/x
  3. Step 3: Cross multiply
    146,861.91x = 220,292.46 × 41,680.98
  4. Step 4: Simplify right side
    146,861.91x = 9,182,005,619.41
  5. Step 5: Solve for x
    x = 9,182,005,619.41/146,861.91
  6. Step 6: Final answer
    x = 62,521.36

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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.