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Finding the Fourth Proportional to 302,178.86, 417,014.69 and 166,216.31

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Solution

The fourth proportional to 302,178.86, 417,014.69 and 166,216.31 is: 229,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,178.86 : 417,014.69 = 166,216.31 : x
  2. Step 2: Convert to fraction form
    302,178.86/417,014.69 = 166,216.31/x
  3. Step 3: Cross multiply
    302,178.86x = 417,014.69 × 166,216.31
  4. Step 4: Simplify right side
    302,178.86x = 69,314,640,071.44
  5. Step 5: Solve for x
    x = 69,314,640,071.44/302,178.86
  6. Step 6: Final answer
    x = 229,382.83

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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.