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Finding the Fourth Proportional to 222,583.68, 307,162.80 and 120,608.64

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Solution

The fourth proportional to 222,583.68, 307,162.80 and 120,608.64 is: 166,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,583.68 : 307,162.80 = 120,608.64 : x
  2. Step 2: Convert to fraction form
    222,583.68/307,162.80 = 120,608.64/x
  3. Step 3: Cross multiply
    222,583.68x = 307,162.80 × 120,608.64
  4. Step 4: Simplify right side
    222,583.68x = 37,046,487,566.59
  5. Step 5: Solve for x
    x = 37,046,487,566.59/222,583.68
  6. Step 6: Final answer
    x = 166,438.47

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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.