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Finding the Fourth Proportional to 302,103.44, 416,913.46 and 166,147.91

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Solution

The fourth proportional to 302,103.44, 416,913.46 and 166,147.91 is: 229,290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,103.44 : 416,913.46 = 166,147.91 : x
  2. Step 2: Convert to fraction form
    302,103.44/416,913.46 = 166,147.91/x
  3. Step 3: Cross multiply
    302,103.44x = 416,913.46 × 166,147.91
  4. Step 4: Simplify right side
    302,103.44x = 69,269,297,529.93
  5. Step 5: Solve for x
    x = 69,269,297,529.93/302,103.44
  6. Step 6: Final answer
    x = 229,290.00

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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.