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Finding the Fourth Proportional to 301,082.64, 415,512.72 and 166,946.64

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Solution

The fourth proportional to 301,082.64, 415,512.72 and 166,946.64 is: 230,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,082.64 : 415,512.72 = 166,946.64 : x
  2. Step 2: Convert to fraction form
    301,082.64/415,512.72 = 166,946.64/x
  3. Step 3: Cross multiply
    301,082.64x = 415,512.72 × 166,946.64
  4. Step 4: Simplify right side
    301,082.64x = 69,368,452,481.26
  5. Step 5: Solve for x
    x = 69,368,452,481.26/301,082.64
  6. Step 6: Final answer
    x = 230,396.72

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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.