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Finding the Fourth Proportional to 302,168.14, 416,992.87 and 166,216.02

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Solution

The fourth proportional to 302,168.14, 416,992.87 and 166,216.02 is: 229,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,168.14 : 416,992.87 = 166,216.02 : x
  2. Step 2: Convert to fraction form
    302,168.14/416,992.87 = 166,216.02/x
  3. Step 3: Cross multiply
    302,168.14x = 416,992.87 × 166,216.02
  4. Step 4: Simplify right side
    302,168.14x = 69,310,895,219.78
  5. Step 5: Solve for x
    x = 69,310,895,219.78/302,168.14
  6. Step 6: Final answer
    x = 229,378.57

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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.