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Finding the Fourth Proportional to 150,850.80, 208,174.44 and 83,782.80

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Solution

The fourth proportional to 150,850.80, 208,174.44 and 83,782.80 is: 115,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,850.80 : 208,174.44 = 83,782.80 : x
  2. Step 2: Convert to fraction form
    150,850.80/208,174.44 = 83,782.80/x
  3. Step 3: Cross multiply
    150,850.80x = 208,174.44 × 83,782.80
  4. Step 4: Simplify right side
    150,850.80x = 17,441,437,471.63
  5. Step 5: Solve for x
    x = 17,441,437,471.63/150,850.80
  6. Step 6: Final answer
    x = 115,620.45

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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.