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Finding the Fourth Proportional to 299,176.96, 412,835.52 and 165,032.32

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Solution

The fourth proportional to 299,176.96, 412,835.52 and 165,032.32 is: 227,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,176.96 : 412,835.52 = 165,032.32 : x
  2. Step 2: Convert to fraction form
    299,176.96/412,835.52 = 165,032.32/x
  3. Step 3: Cross multiply
    299,176.96x = 412,835.52 × 165,032.32
  4. Step 4: Simplify right side
    299,176.96x = 68,131,203,644.01
  5. Step 5: Solve for x
    x = 68,131,203,644.01/299,176.96
  6. Step 6: Final answer
    x = 227,728.78

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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.