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Finding the Fourth Proportional to 150,855.48, 208,157.42 and 87,180.98

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Solution

The fourth proportional to 150,855.48, 208,157.42 and 87,180.98 is: 120,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,855.48 : 208,157.42 = 87,180.98 : x
  2. Step 2: Convert to fraction form
    150,855.48/208,157.42 = 87,180.98/x
  3. Step 3: Cross multiply
    150,855.48x = 208,157.42 × 87,180.98
  4. Step 4: Simplify right side
    150,855.48x = 18,147,367,869.87
  5. Step 5: Solve for x
    x = 18,147,367,869.87/150,855.48
  6. Step 6: Final answer
    x = 120,296.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.