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Finding the Fourth Proportional to 222,042.14, 306,425.44 and 121,440.14

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Solution

The fourth proportional to 222,042.14, 306,425.44 and 121,440.14 is: 167,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,042.14 : 306,425.44 = 121,440.14 : x
  2. Step 2: Convert to fraction form
    222,042.14/306,425.44 = 121,440.14/x
  3. Step 3: Cross multiply
    222,042.14x = 306,425.44 × 121,440.14
  4. Step 4: Simplify right side
    222,042.14x = 37,212,348,333.16
  5. Step 5: Solve for x
    x = 37,212,348,333.16/222,042.14
  6. Step 6: Final answer
    x = 167,591.38

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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.