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Finding the Fourth Proportional to 299,242.50, 412,954.65 and 165,106.50

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Solution

The fourth proportional to 299,242.50, 412,954.65 and 165,106.50 is: 227,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,242.50 : 412,954.65 = 165,106.50 : x
  2. Step 2: Convert to fraction form
    299,242.50/412,954.65 = 165,106.50/x
  3. Step 3: Cross multiply
    299,242.50x = 412,954.65 × 165,106.50
  4. Step 4: Simplify right side
    299,242.50x = 68,181,496,920.23
  5. Step 5: Solve for x
    x = 68,181,496,920.23/299,242.50
  6. Step 6: Final answer
    x = 227,846.97

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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.