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Finding the Fourth Proportional to 302,121.59, 416,932.58 and 166,161.47

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Solution

The fourth proportional to 302,121.59, 416,932.58 and 166,161.47 is: 229,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,121.59 : 416,932.58 = 166,161.47 : x
  2. Step 2: Convert to fraction form
    302,121.59/416,932.58 = 166,161.47/x
  3. Step 3: Cross multiply
    302,121.59x = 416,932.58 × 166,161.47
  4. Step 4: Simplify right side
    302,121.59x = 69,278,128,714.43
  5. Step 5: Solve for x
    x = 69,278,128,714.43/302,121.59
  6. Step 6: Final answer
    x = 229,305.46

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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.