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Finding the Fourth Proportional to 299,129.50, 412,798.71 and 164,993.50

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Solution

The fourth proportional to 299,129.50, 412,798.71 and 164,993.50 is: 227,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,129.50 : 412,798.71 = 164,993.50 : x
  2. Step 2: Convert to fraction form
    299,129.50/412,798.71 = 164,993.50/x
  3. Step 3: Cross multiply
    299,129.50x = 412,798.71 × 164,993.50
  4. Step 4: Simplify right side
    299,129.50x = 68,109,103,958.39
  5. Step 5: Solve for x
    x = 68,109,103,958.39/299,129.50
  6. Step 6: Final answer
    x = 227,691.03

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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.