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Finding the Fourth Proportional to 222,989.22, 307,725.32 and 121,014.70

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Solution

The fourth proportional to 222,989.22, 307,725.32 and 121,014.70 is: 167,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,989.22 : 307,725.32 = 121,014.70 : x
  2. Step 2: Convert to fraction form
    222,989.22/307,725.32 = 121,014.70/x
  3. Step 3: Cross multiply
    222,989.22x = 307,725.32 × 121,014.70
  4. Step 4: Simplify right side
    222,989.22x = 37,239,286,815.43
  5. Step 5: Solve for x
    x = 37,239,286,815.43/222,989.22
  6. Step 6: Final answer
    x = 167,000.39

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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.