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Finding the Fourth Proportional to 201,742.10, 302,525.60 and 68,586.60

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Solution

The fourth proportional to 201,742.10, 302,525.60 and 68,586.60 is: 102,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,742.10 : 302,525.60 = 68,586.60 : x
  2. Step 2: Convert to fraction form
    201,742.10/302,525.60 = 68,586.60/x
  3. Step 3: Cross multiply
    201,742.10x = 302,525.60 × 68,586.60
  4. Step 4: Simplify right side
    201,742.10x = 20,749,201,974.03
  5. Step 5: Solve for x
    x = 20,749,201,974.03/201,742.10
  6. Step 6: Final answer
    x = 102,850.14

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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.