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Finding the Fourth Proportional to 222,338.92, 306,827.64 and 120,364.30

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Solution

The fourth proportional to 222,338.92, 306,827.64 and 120,364.30 is: 166,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,338.92 : 306,827.64 = 120,364.30 : x
  2. Step 2: Convert to fraction form
    222,338.92/306,827.64 = 120,364.30/x
  3. Step 3: Cross multiply
    222,338.92x = 306,827.64 × 120,364.30
  4. Step 4: Simplify right side
    222,338.92x = 36,931,094,109.25
  5. Step 5: Solve for x
    x = 36,931,094,109.25/222,338.92
  6. Step 6: Final answer
    x = 166,102.70

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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.