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Finding the Fourth Proportional to 206,420.49, 284,941.31 and 138,412.62

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Solution

The fourth proportional to 206,420.49, 284,941.31 and 138,412.62 is: 191,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,420.49 : 284,941.31 = 138,412.62 : x
  2. Step 2: Convert to fraction form
    206,420.49/284,941.31 = 138,412.62/x
  3. Step 3: Cross multiply
    206,420.49x = 284,941.31 × 138,412.62
  4. Step 4: Simplify right side
    206,420.49x = 39,439,472,571.27
  5. Step 5: Solve for x
    x = 39,439,472,571.27/206,420.49
  6. Step 6: Final answer
    x = 191,063.75

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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.