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Finding the Fourth Proportional to 302,013.93, 416,768.58 and 166,046.84

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Solution

The fourth proportional to 302,013.93, 416,768.58 and 166,046.84 is: 229,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,013.93 : 416,768.58 = 166,046.84 : x
  2. Step 2: Convert to fraction form
    302,013.93/416,768.58 = 166,046.84/x
  3. Step 3: Cross multiply
    302,013.93x = 416,768.58 × 166,046.84
  4. Step 4: Simplify right side
    302,013.93x = 69,203,103,013.77
  5. Step 5: Solve for x
    x = 69,203,103,013.77/302,013.93
  6. Step 6: Final answer
    x = 229,138.78

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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.