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Finding the Fourth Proportional to 299,119.07, 412,784.34 and 164,983.07

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Solution

The fourth proportional to 299,119.07, 412,784.34 and 164,983.07 is: 227,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,119.07 : 412,784.34 = 164,983.07 : x
  2. Step 2: Convert to fraction form
    299,119.07/412,784.34 = 164,983.07/x
  3. Step 3: Cross multiply
    299,119.07x = 412,784.34 × 164,983.07
  4. Step 4: Simplify right side
    299,119.07x = 68,102,427,661.12
  5. Step 5: Solve for x
    x = 68,102,427,661.12/299,119.07
  6. Step 6: Final answer
    x = 227,676.65

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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.