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Finding the Fourth Proportional to 299,128.36, 412,790.58 and 164,992.36

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Solution

The fourth proportional to 299,128.36, 412,790.58 and 164,992.36 is: 227,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,128.36 : 412,790.58 = 164,992.36 : x
  2. Step 2: Convert to fraction form
    299,128.36/412,790.58 = 164,992.36/x
  3. Step 3: Cross multiply
    299,128.36x = 412,790.58 × 164,992.36
  4. Step 4: Simplify right side
    299,128.36x = 68,107,291,979.97
  5. Step 5: Solve for x
    x = 68,107,291,979.97/299,128.36
  6. Step 6: Final answer
    x = 227,685.84

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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.