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Finding the Fourth Proportional to 222,967.83, 307,694.03 and 120,990.70

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Solution

The fourth proportional to 222,967.83, 307,694.03 and 120,990.70 is: 166,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,967.83 : 307,694.03 = 120,990.70 : x
  2. Step 2: Convert to fraction form
    222,967.83/307,694.03 = 120,990.70/x
  3. Step 3: Cross multiply
    222,967.83x = 307,694.03 × 120,990.70
  4. Step 4: Simplify right side
    222,967.83x = 37,228,116,075.52
  5. Step 5: Solve for x
    x = 37,228,116,075.52/222,967.83
  6. Step 6: Final answer
    x = 166,966.31

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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.