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Finding the Fourth Proportional to 206,811.10, 288,945.05 and 206,811.10

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Solution

The fourth proportional to 206,811.10, 288,945.05 and 206,811.10 is: 288,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,811.10 : 288,945.05 = 206,811.10 : x
  2. Step 2: Convert to fraction form
    206,811.10/288,945.05 = 206,811.10/x
  3. Step 3: Cross multiply
    206,811.10x = 288,945.05 × 206,811.10
  4. Step 4: Simplify right side
    206,811.10x = 59,757,043,630.06
  5. Step 5: Solve for x
    x = 59,757,043,630.06/206,811.10
  6. Step 6: Final answer
    x = 288,945.05

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.