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Finding the Fourth Proportional to 146,846.40, 220,123.80 and 67,822.80

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Solution

The fourth proportional to 146,846.40, 220,123.80 and 67,822.80 is: 101,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,846.40 : 220,123.80 = 67,822.80 : x
  2. Step 2: Convert to fraction form
    146,846.40/220,123.80 = 67,822.80/x
  3. Step 3: Cross multiply
    146,846.40x = 220,123.80 × 67,822.80
  4. Step 4: Simplify right side
    146,846.40x = 14,929,412,462.64
  5. Step 5: Solve for x
    x = 14,929,412,462.64/146,846.40
  6. Step 6: Final answer
    x = 101,666.86

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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.