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Finding the Fourth Proportional to 227,493.76, 313,772.16 and 167,045.44

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Solution

The fourth proportional to 227,493.76, 313,772.16 and 167,045.44 is: 230,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,493.76 : 313,772.16 = 167,045.44 : x
  2. Step 2: Convert to fraction form
    227,493.76/313,772.16 = 167,045.44/x
  3. Step 3: Cross multiply
    227,493.76x = 313,772.16 × 167,045.44
  4. Step 4: Simplify right side
    227,493.76x = 52,414,208,526.95
  5. Step 5: Solve for x
    x = 52,414,208,526.95/227,493.76
  6. Step 6: Final answer
    x = 230,398.44

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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.