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Finding the Fourth Proportional to 222,500.31, 307,051.92 and 120,525.78

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Solution

The fourth proportional to 222,500.31, 307,051.92 and 120,525.78 is: 166,326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,500.31 : 307,051.92 = 120,525.78 : x
  2. Step 2: Convert to fraction form
    222,500.31/307,051.92 = 120,525.78/x
  3. Step 3: Cross multiply
    222,500.31x = 307,051.92 × 120,525.78
  4. Step 4: Simplify right side
    222,500.31x = 37,007,671,857.18
  5. Step 5: Solve for x
    x = 37,007,671,857.18/222,500.31
  6. Step 6: Final answer
    x = 166,326.38

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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.