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Finding the Fourth Proportional to 222,998.24, 307,731.48 and 122,396.24

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Solution

The fourth proportional to 222,998.24, 307,731.48 and 122,396.24 is: 168,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,998.24 : 307,731.48 = 122,396.24 : x
  2. Step 2: Convert to fraction form
    222,998.24/307,731.48 = 122,396.24/x
  3. Step 3: Cross multiply
    222,998.24x = 307,731.48 × 122,396.24
  4. Step 4: Simplify right side
    222,998.24x = 37,665,176,081.64
  5. Step 5: Solve for x
    x = 37,665,176,081.64/222,998.24
  6. Step 6: Final answer
    x = 168,903.47

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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.