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Finding the Fourth Proportional to 201,153.85, 301,769.69 and 68,055.80

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Solution

The fourth proportional to 201,153.85, 301,769.69 and 68,055.80 is: 102,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,153.85 : 301,769.69 = 68,055.80 : x
  2. Step 2: Convert to fraction form
    201,153.85/301,769.69 = 68,055.80/x
  3. Step 3: Cross multiply
    201,153.85x = 301,769.69 × 68,055.80
  4. Step 4: Simplify right side
    201,153.85x = 20,537,175,819.57
  5. Step 5: Solve for x
    x = 20,537,175,819.57/201,153.85
  6. Step 6: Final answer
    x = 102,096.86

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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.