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Finding the Fourth Proportional to 229,040.78, 343,395.05 and 153,974.70

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Solution

The fourth proportional to 229,040.78, 343,395.05 and 153,974.70 is: 230,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,040.78 : 343,395.05 = 153,974.70 : x
  2. Step 2: Convert to fraction form
    229,040.78/343,395.05 = 153,974.70/x
  3. Step 3: Cross multiply
    229,040.78x = 343,395.05 × 153,974.70
  4. Step 4: Simplify right side
    229,040.78x = 52,874,149,035.36
  5. Step 5: Solve for x
    x = 52,874,149,035.36/229,040.78
  6. Step 6: Final answer
    x = 230,850.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.