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Finding the Fourth Proportional to 146,966.10, 220,121.10 and 120,722.10

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Solution

The fourth proportional to 146,966.10, 220,121.10 and 120,722.10 is: 180,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,966.10 : 220,121.10 = 120,722.10 : x
  2. Step 2: Convert to fraction form
    146,966.10/220,121.10 = 120,722.10/x
  3. Step 3: Cross multiply
    146,966.10x = 220,121.10 × 120,722.10
  4. Step 4: Simplify right side
    146,966.10x = 26,573,481,446.31
  5. Step 5: Solve for x
    x = 26,573,481,446.31/146,966.10
  6. Step 6: Final answer
    x = 180,813.68

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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.