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Finding the Fourth Proportional to 206,913.18, 285,531.01 and 120,880.15

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Solution

The fourth proportional to 206,913.18, 285,531.01 and 120,880.15 is: 166,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,913.18 : 285,531.01 = 120,880.15 : x
  2. Step 2: Convert to fraction form
    206,913.18/285,531.01 = 120,880.15/x
  3. Step 3: Cross multiply
    206,913.18x = 285,531.01 × 120,880.15
  4. Step 4: Simplify right side
    206,913.18x = 34,515,030,302.42
  5. Step 5: Solve for x
    x = 34,515,030,302.42/206,913.18
  6. Step 6: Final answer
    x = 166,809.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.