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Finding the Fourth Proportional to 299,047.05, 412,650.05 and 178,171.29

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Solution

The fourth proportional to 299,047.05, 412,650.05 and 178,171.29 is: 245,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,047.05 : 412,650.05 = 178,171.29 : x
  2. Step 2: Convert to fraction form
    299,047.05/412,650.05 = 178,171.29/x
  3. Step 3: Cross multiply
    299,047.05x = 412,650.05 × 178,171.29
  4. Step 4: Simplify right side
    299,047.05x = 73,522,390,836.21
  5. Step 5: Solve for x
    x = 73,522,390,836.21/299,047.05
  6. Step 6: Final answer
    x = 245,855.60

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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.