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Finding the Fourth Proportional to 203,825.03, 305,638.77 and 85,464.59

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Solution

The fourth proportional to 203,825.03, 305,638.77 and 85,464.59 is: 128,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,825.03 : 305,638.77 = 85,464.59 : x
  2. Step 2: Convert to fraction form
    203,825.03/305,638.77 = 85,464.59/x
  3. Step 3: Cross multiply
    203,825.03x = 305,638.77 × 85,464.59
  4. Step 4: Simplify right side
    203,825.03x = 26,121,292,166.15
  5. Step 5: Solve for x
    x = 26,121,292,166.15/203,825.03
  6. Step 6: Final answer
    x = 128,155.47

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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.