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Finding the Fourth Proportional to 222,830.80, 334,265.64 and 82,590.64

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Solution

The fourth proportional to 222,830.80, 334,265.64 and 82,590.64 is: 123,893.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,830.80 : 334,265.64 = 82,590.64 : x
  2. Step 2: Convert to fraction form
    222,830.80/334,265.64 = 82,590.64/x
  3. Step 3: Cross multiply
    222,830.80x = 334,265.64 × 82,590.64
  4. Step 4: Simplify right side
    222,830.80x = 27,607,213,137.61
  5. Step 5: Solve for x
    x = 27,607,213,137.61/222,830.80
  6. Step 6: Final answer
    x = 123,893.17

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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.