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Finding the Fourth Proportional to 299,108, 412,777.68 and 164,980.64

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Solution

The fourth proportional to 299,108, 412,777.68 and 164,980.64 is: 227,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,108 : 412,777.68 = 164,980.64 : x
  2. Step 2: Convert to fraction form
    299,108/412,777.68 = 164,980.64/x
  3. Step 3: Cross multiply
    299,108x = 412,777.68 × 164,980.64
  4. Step 4: Simplify right side
    299,108x = 68,100,325,824.12
  5. Step 5: Solve for x
    x = 68,100,325,824.12/299,108
  6. Step 6: Final answer
    x = 227,678.05

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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.