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Finding the Fourth Proportional to 302,167.32, 416,961.90 and 166,198.92

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Solution

The fourth proportional to 302,167.32, 416,961.90 and 166,198.92 is: 229,338.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,167.32 : 416,961.90 = 166,198.92 : x
  2. Step 2: Convert to fraction form
    302,167.32/416,961.90 = 166,198.92/x
  3. Step 3: Cross multiply
    302,167.32x = 416,961.90 × 166,198.92
  4. Step 4: Simplify right side
    302,167.32x = 69,298,617,461.15
  5. Step 5: Solve for x
    x = 69,298,617,461.15/302,167.32
  6. Step 6: Final answer
    x = 229,338.56

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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.