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Finding the Fourth Proportional to 206,228.40, 309,112.20 and 117,524.40

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Solution

The fourth proportional to 206,228.40, 309,112.20 and 117,524.40 is: 176,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,228.40 : 309,112.20 = 117,524.40 : x
  2. Step 2: Convert to fraction form
    206,228.40/309,112.20 = 117,524.40/x
  3. Step 3: Cross multiply
    206,228.40x = 309,112.20 × 117,524.40
  4. Step 4: Simplify right side
    206,228.40x = 36,328,225,837.68
  5. Step 5: Solve for x
    x = 36,328,225,837.68/206,228.40
  6. Step 6: Final answer
    x = 176,155.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.