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Finding the Fourth Proportional to 222,053.20, 333,128.40 and 109,787.20

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Solution

The fourth proportional to 222,053.20, 333,128.40 and 109,787.20 is: 164,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,053.20 : 333,128.40 = 109,787.20 : x
  2. Step 2: Convert to fraction form
    222,053.20/333,128.40 = 109,787.20/x
  3. Step 3: Cross multiply
    222,053.20x = 333,128.40 × 109,787.20
  4. Step 4: Simplify right side
    222,053.20x = 36,573,234,276.48
  5. Step 5: Solve for x
    x = 36,573,234,276.48/222,053.20
  6. Step 6: Final answer
    x = 164,704.83

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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.