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Finding the Fourth Proportional to 100,136.95, 150,186.30 and 30,016.26

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Solution

The fourth proportional to 100,136.95, 150,186.30 and 30,016.26 is: 45,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,136.95 : 150,186.30 = 30,016.26 : x
  2. Step 2: Convert to fraction form
    100,136.95/150,186.30 = 30,016.26/x
  3. Step 3: Cross multiply
    100,136.95x = 150,186.30 × 30,016.26
  4. Step 4: Simplify right side
    100,136.95x = 4,508,031,029.24
  5. Step 5: Solve for x
    x = 4,508,031,029.24/100,136.95
  6. Step 6: Final answer
    x = 45,018.66

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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.