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Finding the Fourth Proportional to 302,323.15, 417,205.45 and 166,365.86

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Solution

The fourth proportional to 302,323.15, 417,205.45 and 166,365.86 is: 229,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,323.15 : 417,205.45 = 166,365.86 : x
  2. Step 2: Convert to fraction form
    302,323.15/417,205.45 = 166,365.86/x
  3. Step 3: Cross multiply
    302,323.15x = 417,205.45 × 166,365.86
  4. Step 4: Simplify right side
    302,323.15x = 69,408,743,485.94
  5. Step 5: Solve for x
    x = 69,408,743,485.94/302,323.15
  6. Step 6: Final answer
    x = 229,584.61

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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.