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Finding the Fourth Proportional to 302,042.44, 416,818.86 and 166,078.66

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Solution

The fourth proportional to 302,042.44, 416,818.86 and 166,078.66 is: 229,188.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,042.44 : 416,818.86 = 166,078.66 : x
  2. Step 2: Convert to fraction form
    302,042.44/416,818.86 = 166,078.66/x
  3. Step 3: Cross multiply
    302,042.44x = 416,818.86 × 166,078.66
  4. Step 4: Simplify right side
    302,042.44x = 69,224,717,731.53
  5. Step 5: Solve for x
    x = 69,224,717,731.53/302,042.44
  6. Step 6: Final answer
    x = 229,188.71

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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.