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Finding the Fourth Proportional to 201,185.62, 301,625.98 and 100,024.98

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Solution

The fourth proportional to 201,185.62, 301,625.98 and 100,024.98 is: 149,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,185.62 : 301,625.98 = 100,024.98 : x
  2. Step 2: Convert to fraction form
    201,185.62/301,625.98 = 100,024.98/x
  3. Step 3: Cross multiply
    201,185.62x = 301,625.98 × 100,024.98
  4. Step 4: Simplify right side
    201,185.62x = 30,170,132,616.98
  5. Step 5: Solve for x
    x = 30,170,132,616.98/201,185.62
  6. Step 6: Final answer
    x = 149,961.68

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1.5x scale

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.