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Finding the Fourth Proportional to 222,432.93, 306,958.95 and 120,458.48

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Solution

The fourth proportional to 222,432.93, 306,958.95 and 120,458.48 is: 166,233.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,432.93 : 306,958.95 = 120,458.48 : x
  2. Step 2: Convert to fraction form
    222,432.93/306,958.95 = 120,458.48/x
  3. Step 3: Cross multiply
    222,432.93x = 306,958.95 × 120,458.48
  4. Step 4: Simplify right side
    222,432.93x = 36,975,807,004.60
  5. Step 5: Solve for x
    x = 36,975,807,004.60/222,432.93
  6. Step 6: Final answer
    x = 166,233.51

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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.