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Finding the Fourth Proportional to 206,580.68, 284,975.07 and 137,788.58

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Solution

The fourth proportional to 206,580.68, 284,975.07 and 137,788.58 is: 190,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,580.68 : 284,975.07 = 137,788.58 : x
  2. Step 2: Convert to fraction form
    206,580.68/284,975.07 = 137,788.58/x
  3. Step 3: Cross multiply
    206,580.68x = 284,975.07 × 137,788.58
  4. Step 4: Simplify right side
    206,580.68x = 39,266,310,230.70
  5. Step 5: Solve for x
    x = 39,266,310,230.70/206,580.68
  6. Step 6: Final answer
    x = 190,077.36

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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.