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Finding the Fourth Proportional to 206,522.19, 309,284.33 and 117,506.03

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Solution

The fourth proportional to 206,522.19, 309,284.33 and 117,506.03 is: 175,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,522.19 : 309,284.33 = 117,506.03 : x
  2. Step 2: Convert to fraction form
    206,522.19/309,284.33 = 117,506.03/x
  3. Step 3: Cross multiply
    206,522.19x = 309,284.33 × 117,506.03
  4. Step 4: Simplify right side
    206,522.19x = 36,342,771,625.56
  5. Step 5: Solve for x
    x = 36,342,771,625.56/206,522.19
  6. Step 6: Final answer
    x = 175,975.14

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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.