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Finding the Fourth Proportional to 207,102.89, 285,733.24 and 168,796.64

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Solution

The fourth proportional to 207,102.89, 285,733.24 and 168,796.64 is: 232,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,102.89 : 285,733.24 = 168,796.64 : x
  2. Step 2: Convert to fraction form
    207,102.89/285,733.24 = 168,796.64/x
  3. Step 3: Cross multiply
    207,102.89x = 285,733.24 × 168,796.64
  4. Step 4: Simplify right side
    207,102.89x = 48,230,811,140.66
  5. Step 5: Solve for x
    x = 48,230,811,140.66/207,102.89
  6. Step 6: Final answer
    x = 232,883.33

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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.