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Finding the Fourth Proportional to 201,770.20, 302,540.10 and 83,301.40

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Solution

The fourth proportional to 201,770.20, 302,540.10 and 83,301.40 is: 124,904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,770.20 : 302,540.10 = 83,301.40 : x
  2. Step 2: Convert to fraction form
    201,770.20/302,540.10 = 83,301.40/x
  3. Step 3: Cross multiply
    201,770.20x = 302,540.10 × 83,301.40
  4. Step 4: Simplify right side
    201,770.20x = 25,202,013,886.14
  5. Step 5: Solve for x
    x = 25,202,013,886.14/201,770.20
  6. Step 6: Final answer
    x = 124,904.54

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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.