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Finding the Fourth Proportional to 222,437.57, 306,964.13 and 120,463.20

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Solution

The fourth proportional to 222,437.57, 306,964.13 and 120,463.20 is: 166,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,437.57 : 306,964.13 = 120,463.20 : x
  2. Step 2: Convert to fraction form
    222,437.57/306,964.13 = 120,463.20/x
  3. Step 3: Cross multiply
    222,437.57x = 306,964.13 × 120,463.20
  4. Step 4: Simplify right side
    222,437.57x = 36,977,879,850.20
  5. Step 5: Solve for x
    x = 36,977,879,850.20/222,437.57
  6. Step 6: Final answer
    x = 166,239.36

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1.5x scale

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.