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Finding the Fourth Proportional to 204,014.30, 306,021.45 and 85,819.10

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Solution

The fourth proportional to 204,014.30, 306,021.45 and 85,819.10 is: 128,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,014.30 : 306,021.45 = 85,819.10 : x
  2. Step 2: Convert to fraction form
    204,014.30/306,021.45 = 85,819.10/x
  3. Step 3: Cross multiply
    204,014.30x = 306,021.45 × 85,819.10
  4. Step 4: Simplify right side
    204,014.30x = 26,262,485,419.70
  5. Step 5: Solve for x
    x = 26,262,485,419.70/204,014.30
  6. Step 6: Final answer
    x = 128,728.65

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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.