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Finding the Fourth Proportional to 258,136, 386,374.83 and 137,892.31

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Solution

The fourth proportional to 258,136, 386,374.83 and 137,892.31 is: 206,395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,136 : 386,374.83 = 137,892.31 : x
  2. Step 2: Convert to fraction form
    258,136/386,374.83 = 137,892.31/x
  3. Step 3: Cross multiply
    258,136x = 386,374.83 × 137,892.31
  4. Step 4: Simplify right side
    258,136x = 53,278,117,834.56
  5. Step 5: Solve for x
    x = 53,278,117,834.56/258,136
  6. Step 6: Final answer
    x = 206,395.54

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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.