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Finding the Fourth Proportional to 299,122.47, 412,792.74 and 178,333.38

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Solution

The fourth proportional to 299,122.47, 412,792.74 and 178,333.38 is: 246,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,122.47 : 412,792.74 = 178,333.38 : x
  2. Step 2: Convert to fraction form
    299,122.47/412,792.74 = 178,333.38/x
  3. Step 3: Cross multiply
    299,122.47x = 412,792.74 × 178,333.38
  4. Step 4: Simplify right side
    299,122.47x = 73,614,724,563.66
  5. Step 5: Solve for x
    x = 73,614,724,563.66/299,122.47
  6. Step 6: Final answer
    x = 246,102.29

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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.