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Finding the Fourth Proportional to 189,017.82, 260,844.84 and 102,976.38

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Solution

The fourth proportional to 189,017.82, 260,844.84 and 102,976.38 is: 142,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,017.82 : 260,844.84 = 102,976.38 : x
  2. Step 2: Convert to fraction form
    189,017.82/260,844.84 = 102,976.38/x
  3. Step 3: Cross multiply
    189,017.82x = 260,844.84 × 102,976.38
  4. Step 4: Simplify right side
    189,017.82x = 26,860,857,364.88
  5. Step 5: Solve for x
    x = 26,860,857,364.88/189,017.82
  6. Step 6: Final answer
    x = 142,107.54

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