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Finding the Fourth Proportional to 201,678.20, 302,546.10 and 68,564.60

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Solution

The fourth proportional to 201,678.20, 302,546.10 and 68,564.60 is: 102,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,678.20 : 302,546.10 = 68,564.60 : x
  2. Step 2: Convert to fraction form
    201,678.20/302,546.10 = 68,564.60/x
  3. Step 3: Cross multiply
    201,678.20x = 302,546.10 × 68,564.60
  4. Step 4: Simplify right side
    201,678.20x = 20,743,952,328.06
  5. Step 5: Solve for x
    x = 20,743,952,328.06/201,678.20
  6. Step 6: Final answer
    x = 102,856.69

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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.