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Finding the Fourth Proportional to 203,588.90, 305,409.17 and 77,273.25

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Solution

The fourth proportional to 203,588.90, 305,409.17 and 77,273.25 is: 115,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,588.90 : 305,409.17 = 77,273.25 : x
  2. Step 2: Convert to fraction form
    203,588.90/305,409.17 = 77,273.25/x
  3. Step 3: Cross multiply
    203,588.90x = 305,409.17 × 77,273.25
  4. Step 4: Simplify right side
    203,588.90x = 23,599,959,145.70
  5. Step 5: Solve for x
    x = 23,599,959,145.70/203,588.90
  6. Step 6: Final answer
    x = 115,919.68

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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.