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Finding the Fourth Proportional to 220,101.10, 330,151.65 and 164,113.90

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Solution

The fourth proportional to 220,101.10, 330,151.65 and 164,113.90 is: 246,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,101.10 : 330,151.65 = 164,113.90 : x
  2. Step 2: Convert to fraction form
    220,101.10/330,151.65 = 164,113.90/x
  3. Step 3: Cross multiply
    220,101.10x = 330,151.65 × 164,113.90
  4. Step 4: Simplify right side
    220,101.10x = 54,182,474,872.94
  5. Step 5: Solve for x
    x = 54,182,474,872.94/220,101.10
  6. Step 6: Final answer
    x = 246,170.85

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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.