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Finding the Fourth Proportional to 146,611.94, 219,983.50 and 84,282.44

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Solution

The fourth proportional to 146,611.94, 219,983.50 and 84,282.44 is: 126,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,611.94 : 219,983.50 = 84,282.44 : x
  2. Step 2: Convert to fraction form
    146,611.94/219,983.50 = 84,282.44/x
  3. Step 3: Cross multiply
    146,611.94x = 219,983.50 × 84,282.44
  4. Step 4: Simplify right side
    146,611.94x = 18,540,746,139.74
  5. Step 5: Solve for x
    x = 18,540,746,139.74/146,611.94
  6. Step 6: Final answer
    x = 126,461.37

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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.