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Finding the Fourth Proportional to 272,995.40, 409,493.10 and 202,136.60

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Solution

The fourth proportional to 272,995.40, 409,493.10 and 202,136.60 is: 303,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,995.40 : 409,493.10 = 202,136.60 : x
  2. Step 2: Convert to fraction form
    272,995.40/409,493.10 = 202,136.60/x
  3. Step 3: Cross multiply
    272,995.40x = 409,493.10 × 202,136.60
  4. Step 4: Simplify right side
    272,995.40x = 82,773,542,957.46
  5. Step 5: Solve for x
    x = 82,773,542,957.46/272,995.40
  6. Step 6: Final answer
    x = 303,204.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.