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Finding the Fourth Proportional to 203,670.77, 305,466.60 and 102,441.83

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Solution

The fourth proportional to 203,670.77, 305,466.60 and 102,441.83 is: 153,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,670.77 : 305,466.60 = 102,441.83 : x
  2. Step 2: Convert to fraction form
    203,670.77/305,466.60 = 102,441.83/x
  3. Step 3: Cross multiply
    203,670.77x = 305,466.60 × 102,441.83
  4. Step 4: Simplify right side
    203,670.77x = 31,292,557,507.88
  5. Step 5: Solve for x
    x = 31,292,557,507.88/203,670.77
  6. Step 6: Final answer
    x = 153,642.85

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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.