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Finding the Fourth Proportional to 222,698.45, 307,324.70 and 120,724.10

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Solution

The fourth proportional to 222,698.45, 307,324.70 and 120,724.10 is: 166,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,698.45 : 307,324.70 = 120,724.10 : x
  2. Step 2: Convert to fraction form
    222,698.45/307,324.70 = 120,724.10/x
  3. Step 3: Cross multiply
    222,698.45x = 307,324.70 × 120,724.10
  4. Step 4: Simplify right side
    222,698.45x = 37,101,495,675.03
  5. Step 5: Solve for x
    x = 37,101,495,675.03/222,698.45
  6. Step 6: Final answer
    x = 166,599.71

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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.