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Finding the Fourth Proportional to 201,638.40, 302,265.60 and 75,244.80

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Solution

The fourth proportional to 201,638.40, 302,265.60 and 75,244.80 is: 112,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.40 : 302,265.60 = 75,244.80 : x
  2. Step 2: Convert to fraction form
    201,638.40/302,265.60 = 75,244.80/x
  3. Step 3: Cross multiply
    201,638.40x = 302,265.60 × 75,244.80
  4. Step 4: Simplify right side
    201,638.40x = 22,743,914,618.88
  5. Step 5: Solve for x
    x = 22,743,914,618.88/201,638.40
  6. Step 6: Final answer
    x = 112,795.55

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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.