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Finding the Fourth Proportional to 228,998.24, 315,872.16 and 165,429.44

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Solution

The fourth proportional to 228,998.24, 315,872.16 and 165,429.44 is: 228,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,998.24 : 315,872.16 = 165,429.44 : x
  2. Step 2: Convert to fraction form
    228,998.24/315,872.16 = 165,429.44/x
  3. Step 3: Cross multiply
    228,998.24x = 315,872.16 × 165,429.44
  4. Step 4: Simplify right side
    228,998.24x = 52,254,554,540.39
  5. Step 5: Solve for x
    x = 52,254,554,540.39/228,998.24
  6. Step 6: Final answer
    x = 228,187.58

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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.