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Finding the Fourth Proportional to 222,992.14, 307,744.32 and 126,196.06

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Solution

The fourth proportional to 222,992.14, 307,744.32 and 126,196.06 is: 174,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,992.14 : 307,744.32 = 126,196.06 : x
  2. Step 2: Convert to fraction form
    222,992.14/307,744.32 = 126,196.06/x
  3. Step 3: Cross multiply
    222,992.14x = 307,744.32 × 126,196.06
  4. Step 4: Simplify right side
    222,992.14x = 38,836,120,671.38
  5. Step 5: Solve for x
    x = 38,836,120,671.38/222,992.14
  6. Step 6: Final answer
    x = 174,159.15

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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.