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Finding the Fourth Proportional to 299,113.07, 412,776.06 and 164,977.07

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Solution

The fourth proportional to 299,113.07, 412,776.06 and 164,977.07 is: 227,668.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,113.07 : 412,776.06 = 164,977.07 : x
  2. Step 2: Convert to fraction form
    299,113.07/412,776.06 = 164,977.07/x
  3. Step 3: Cross multiply
    299,113.07x = 412,776.06 × 164,977.07
  4. Step 4: Simplify right side
    299,113.07x = 68,098,584,944.94
  5. Step 5: Solve for x
    x = 68,098,584,944.94/299,113.07
  6. Step 6: Final answer
    x = 227,668.37

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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.