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Finding the Fourth Proportional to 222,892.16, 307,590.12 and 120,917.66

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Solution

The fourth proportional to 222,892.16, 307,590.12 and 120,917.66 is: 166,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,892.16 : 307,590.12 = 120,917.66 : x
  2. Step 2: Convert to fraction form
    222,892.16/307,590.12 = 120,917.66/x
  3. Step 3: Cross multiply
    222,892.16x = 307,590.12 × 120,917.66
  4. Step 4: Simplify right side
    222,892.16x = 37,193,076,011.57
  5. Step 5: Solve for x
    x = 37,193,076,011.57/222,892.16
  6. Step 6: Final answer
    x = 166,865.79

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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.