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Finding the Fourth Proportional to 262,090.80, 393,136.20 and 65,098.80

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Solution

The fourth proportional to 262,090.80, 393,136.20 and 65,098.80 is: 97,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,090.80 : 393,136.20 = 65,098.80 : x
  2. Step 2: Convert to fraction form
    262,090.80/393,136.20 = 65,098.80/x
  3. Step 3: Cross multiply
    262,090.80x = 393,136.20 × 65,098.80
  4. Step 4: Simplify right side
    262,090.80x = 25,592,694,856.56
  5. Step 5: Solve for x
    x = 25,592,694,856.56/262,090.80
  6. Step 6: Final answer
    x = 97,648.20

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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.