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Finding the Fourth Proportional to 222,854.64, 307,537.61 and 120,879.84

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Solution

The fourth proportional to 222,854.64, 307,537.61 and 120,879.84 is: 166,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,854.64 : 307,537.61 = 120,879.84 : x
  2. Step 2: Convert to fraction form
    222,854.64/307,537.61 = 120,879.84/x
  3. Step 3: Cross multiply
    222,854.64x = 307,537.61 × 120,879.84
  4. Step 4: Simplify right side
    222,854.64x = 37,175,098,319.60
  5. Step 5: Solve for x
    x = 37,175,098,319.60/222,854.64
  6. Step 6: Final answer
    x = 166,813.21

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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.