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Finding the Fourth Proportional to 202,213.89, 302,136.29 and 195,142.06

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Solution

The fourth proportional to 202,213.89, 302,136.29 and 195,142.06 is: 291,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,213.89 : 302,136.29 = 195,142.06 : x
  2. Step 2: Convert to fraction form
    202,213.89/302,136.29 = 195,142.06/x
  3. Step 3: Cross multiply
    202,213.89x = 302,136.29 × 195,142.06
  4. Step 4: Simplify right side
    202,213.89x = 58,959,495,544.97
  5. Step 5: Solve for x
    x = 58,959,495,544.97/202,213.89
  6. Step 6: Final answer
    x = 291,569.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.