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Finding the Fourth Proportional to 224,356.80, 309,618.22 and 122,383.98

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Solution

The fourth proportional to 224,356.80, 309,618.22 and 122,383.98 is: 168,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,356.80 : 309,618.22 = 122,383.98 : x
  2. Step 2: Convert to fraction form
    224,356.80/309,618.22 = 122,383.98/x
  3. Step 3: Cross multiply
    224,356.80x = 309,618.22 × 122,383.98
  4. Step 4: Simplify right side
    224,356.80x = 37,892,310,044.12
  5. Step 5: Solve for x
    x = 37,892,310,044.12/224,356.80
  6. Step 6: Final answer
    x = 168,893.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.