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Finding the Fourth Proportional to 206,167.54, 284,506.38 and 121,290.06

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Solution

The fourth proportional to 206,167.54, 284,506.38 and 121,290.06 is: 167,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,167.54 : 284,506.38 = 121,290.06 : x
  2. Step 2: Convert to fraction form
    206,167.54/284,506.38 = 121,290.06/x
  3. Step 3: Cross multiply
    206,167.54x = 284,506.38 × 121,290.06
  4. Step 4: Simplify right side
    206,167.54x = 34,507,795,900.58
  5. Step 5: Solve for x
    x = 34,507,795,900.58/206,167.54
  6. Step 6: Final answer
    x = 167,377.44

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Why These Related Problems?

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