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Finding the Fourth Proportional to 222,447.20, 306,977.16 and 121,845.20

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Solution

The fourth proportional to 222,447.20, 306,977.16 and 121,845.20 is: 168,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,447.20 : 306,977.16 = 121,845.20 : x
  2. Step 2: Convert to fraction form
    222,447.20/306,977.16 = 121,845.20/x
  3. Step 3: Cross multiply
    222,447.20x = 306,977.16 × 121,845.20
  4. Step 4: Simplify right side
    222,447.20x = 37,403,693,455.63
  5. Step 5: Solve for x
    x = 37,403,693,455.63/222,447.20
  6. Step 6: Final answer
    x = 168,146.39

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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.