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Finding the Fourth Proportional to 201,233.10, 301,740.30 and 68,044.80

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Solution

The fourth proportional to 201,233.10, 301,740.30 and 68,044.80 is: 102,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,233.10 : 301,740.30 = 68,044.80 : x
  2. Step 2: Convert to fraction form
    201,233.10/301,740.30 = 68,044.80/x
  3. Step 3: Cross multiply
    201,233.10x = 301,740.30 × 68,044.80
  4. Step 4: Simplify right side
    201,233.10x = 20,531,858,365.44
  5. Step 5: Solve for x
    x = 20,531,858,365.44/201,233.10
  6. Step 6: Final answer
    x = 102,030.22

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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.