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Finding the Fourth Proportional to 299,111.07, 412,773.30 and 164,975.07

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Solution

The fourth proportional to 299,111.07, 412,773.30 and 164,975.07 is: 227,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,111.07 : 412,773.30 = 164,975.07 : x
  2. Step 2: Convert to fraction form
    299,111.07/412,773.30 = 164,975.07/x
  3. Step 3: Cross multiply
    299,111.07x = 412,773.30 × 164,975.07
  4. Step 4: Simplify right side
    299,111.07x = 68,097,304,061.63
  5. Step 5: Solve for x
    x = 68,097,304,061.63/299,111.07
  6. Step 6: Final answer
    x = 227,665.61

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Why These Related Problems?

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