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Finding the Fourth Proportional to 222,650.40, 307,251.72 and 120,671.40

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Solution

The fourth proportional to 222,650.40, 307,251.72 and 120,671.40 is: 166,523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,650.40 : 307,251.72 = 120,671.40 : x
  2. Step 2: Convert to fraction form
    222,650.40/307,251.72 = 120,671.40/x
  3. Step 3: Cross multiply
    222,650.40x = 307,251.72 × 120,671.40
  4. Step 4: Simplify right side
    222,650.40x = 37,076,495,204.81
  5. Step 5: Solve for x
    x = 37,076,495,204.81/222,650.40
  6. Step 6: Final answer
    x = 166,523.37

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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.