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Finding the Fourth Proportional to 204,030.80, 306,046.20 and 85,835.60

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Solution

The fourth proportional to 204,030.80, 306,046.20 and 85,835.60 is: 128,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,030.80 : 306,046.20 = 85,835.60 : x
  2. Step 2: Convert to fraction form
    204,030.80/306,046.20 = 85,835.60/x
  3. Step 3: Cross multiply
    204,030.80x = 306,046.20 × 85,835.60
  4. Step 4: Simplify right side
    204,030.80x = 26,269,659,204.72
  5. Step 5: Solve for x
    x = 26,269,659,204.72/204,030.80
  6. Step 6: Final answer
    x = 128,753.40

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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.