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Finding the Fourth Proportional to 201,568.40, 302,352.60 and 68,483.60

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Solution

The fourth proportional to 201,568.40, 302,352.60 and 68,483.60 is: 102,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,568.40 : 302,352.60 = 68,483.60 : x
  2. Step 2: Convert to fraction form
    201,568.40/302,352.60 = 68,483.60/x
  3. Step 3: Cross multiply
    201,568.40x = 302,352.60 × 68,483.60
  4. Step 4: Simplify right side
    201,568.40x = 20,706,194,517.36
  5. Step 5: Solve for x
    x = 20,706,194,517.36/201,568.40
  6. Step 6: Final answer
    x = 102,725.40

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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.