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Finding the Fourth Proportional to 222,792.80, 334,116.30 and 82,533.20

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Solution

The fourth proportional to 222,792.80, 334,116.30 and 82,533.20 is: 123,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,792.80 : 334,116.30 = 82,533.20 : x
  2. Step 2: Convert to fraction form
    222,792.80/334,116.30 = 82,533.20/x
  3. Step 3: Cross multiply
    222,792.80x = 334,116.30 × 82,533.20
  4. Step 4: Simplify right side
    222,792.80x = 27,575,687,411.16
  5. Step 5: Solve for x
    x = 27,575,687,411.16/222,792.80
  6. Step 6: Final answer
    x = 123,772.79

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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.