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Finding the Fourth Proportional to 224,142.88, 309,314.45 and 122,168.03

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Solution

The fourth proportional to 224,142.88, 309,314.45 and 122,168.03 is: 168,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,142.88 : 309,314.45 = 122,168.03 : x
  2. Step 2: Convert to fraction form
    224,142.88/309,314.45 = 122,168.03/x
  3. Step 3: Cross multiply
    224,142.88x = 309,314.45 × 122,168.03
  4. Step 4: Simplify right side
    224,142.88x = 37,788,335,960.52
  5. Step 5: Solve for x
    x = 37,788,335,960.52/224,142.88
  6. Step 6: Final answer
    x = 168,590.39

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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.