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Finding the Fourth Proportional to 302,137.32, 416,941.16 and 166,171.30

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Solution

The fourth proportional to 302,137.32, 416,941.16 and 166,171.30 is: 229,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,137.32 : 416,941.16 = 166,171.30 : x
  2. Step 2: Convert to fraction form
    302,137.32/416,941.16 = 166,171.30/x
  3. Step 3: Cross multiply
    302,137.32x = 416,941.16 × 166,171.30
  4. Step 4: Simplify right side
    302,137.32x = 69,283,653,408.54
  5. Step 5: Solve for x
    x = 69,283,653,408.54/302,137.32
  6. Step 6: Final answer
    x = 229,311.81

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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.