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Finding the Fourth Proportional to 222,214.16, 306,653.31 and 120,237.38

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Solution

The fourth proportional to 222,214.16, 306,653.31 and 120,237.38 is: 165,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,214.16 : 306,653.31 = 120,237.38 : x
  2. Step 2: Convert to fraction form
    222,214.16/306,653.31 = 120,237.38/x
  3. Step 3: Cross multiply
    222,214.16x = 306,653.31 × 120,237.38
  4. Step 4: Simplify right side
    222,214.16x = 36,871,190,562.73
  5. Step 5: Solve for x
    x = 36,871,190,562.73/222,214.16
  6. Step 6: Final answer
    x = 165,926.38

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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.