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Finding the Fourth Proportional to 222,972.82, 307,700.93 and 120,995.69

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Solution

The fourth proportional to 222,972.82, 307,700.93 and 120,995.69 is: 166,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,972.82 : 307,700.93 = 120,995.69 : x
  2. Step 2: Convert to fraction form
    222,972.82/307,700.93 = 120,995.69/x
  3. Step 3: Cross multiply
    222,972.82x = 307,700.93 × 120,995.69
  4. Step 4: Simplify right side
    222,972.82x = 37,230,485,102.98
  5. Step 5: Solve for x
    x = 37,230,485,102.98/222,972.82
  6. Step 6: Final answer
    x = 166,973.20

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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.