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Finding the Fourth Proportional to 299,104.08, 412,761.72 and 164,968.08

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Solution

The fourth proportional to 299,104.08, 412,761.72 and 164,968.08 is: 227,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,104.08 : 412,761.72 = 164,968.08 : x
  2. Step 2: Convert to fraction form
    299,104.08/412,761.72 = 164,968.08/x
  3. Step 3: Cross multiply
    299,104.08x = 412,761.72 × 164,968.08
  4. Step 4: Simplify right side
    299,104.08x = 68,092,508,445.90
  5. Step 5: Solve for x
    x = 68,092,508,445.90/299,104.08
  6. Step 6: Final answer
    x = 227,654.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.