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Finding the Fourth Proportional to 222,469.65, 307,008.00 and 120,495.08

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Solution

The fourth proportional to 222,469.65, 307,008.00 and 120,495.08 is: 166,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,469.65 : 307,008.00 = 120,495.08 : x
  2. Step 2: Convert to fraction form
    222,469.65/307,008.00 = 120,495.08/x
  3. Step 3: Cross multiply
    222,469.65x = 307,008.00 × 120,495.08
  4. Step 4: Simplify right side
    222,469.65x = 36,992,953,517.54
  5. Step 5: Solve for x
    x = 36,992,953,517.54/222,469.65
  6. Step 6: Final answer
    x = 166,283.15

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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.