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Finding the Fourth Proportional to 206,536.60, 310,035.30 and 193,000.60

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Solution

The fourth proportional to 206,536.60, 310,035.30 and 193,000.60 is: 289,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,536.60 : 310,035.30 = 193,000.60 : x
  2. Step 2: Convert to fraction form
    206,536.60/310,035.30 = 193,000.60/x
  3. Step 3: Cross multiply
    206,536.60x = 310,035.30 × 193,000.60
  4. Step 4: Simplify right side
    206,536.60x = 59,836,998,921.18
  5. Step 5: Solve for x
    x = 59,836,998,921.18/206,536.60
  6. Step 6: Final answer
    x = 289,716.20

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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.