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Finding the Fourth Proportional to 222,550.34, 307,119.50 and 120,576.50

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Solution

The fourth proportional to 222,550.34, 307,119.50 and 120,576.50 is: 166,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,550.34 : 307,119.50 = 120,576.50 : x
  2. Step 2: Convert to fraction form
    222,550.34/307,119.50 = 120,576.50/x
  3. Step 3: Cross multiply
    222,550.34x = 307,119.50 × 120,576.50
  4. Step 4: Simplify right side
    222,550.34x = 37,031,393,857.13
  5. Step 5: Solve for x
    x = 37,031,393,857.13/222,550.34
  6. Step 6: Final answer
    x = 166,395.59

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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.