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Finding the Fourth Proportional to 201,654.20, 302,481.30 and 83,410.40

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Solution

The fourth proportional to 201,654.20, 302,481.30 and 83,410.40 is: 125,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,654.20 : 302,481.30 = 83,410.40 : x
  2. Step 2: Convert to fraction form
    201,654.20/302,481.30 = 83,410.40/x
  3. Step 3: Cross multiply
    201,654.20x = 302,481.30 × 83,410.40
  4. Step 4: Simplify right side
    201,654.20x = 25,230,086,225.52
  5. Step 5: Solve for x
    x = 25,230,086,225.52/201,654.20
  6. Step 6: Final answer
    x = 125,115.60

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1.5x scale

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.