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Finding the Fourth Proportional to 302,122.59, 416,933.96 and 166,162.47

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Solution

The fourth proportional to 302,122.59, 416,933.96 and 166,162.47 is: 229,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,122.59 : 416,933.96 = 166,162.47 : x
  2. Step 2: Convert to fraction form
    302,122.59/416,933.96 = 166,162.47/x
  3. Step 3: Cross multiply
    302,122.59x = 416,933.96 × 166,162.47
  4. Step 4: Simplify right side
    302,122.59x = 69,278,776,620.48
  5. Step 5: Solve for x
    x = 69,278,776,620.48/302,122.59
  6. Step 6: Final answer
    x = 229,306.84

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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.