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Finding the Fourth Proportional to 189,052.74, 260,890.62 and 107,380.44

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Solution

The fourth proportional to 189,052.74, 260,890.62 and 107,380.44 is: 148,183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,052.74 : 260,890.62 = 107,380.44 : x
  2. Step 2: Convert to fraction form
    189,052.74/260,890.62 = 107,380.44/x
  3. Step 3: Cross multiply
    189,052.74x = 260,890.62 × 107,380.44
  4. Step 4: Simplify right side
    189,052.74x = 28,014,549,567.47
  5. Step 5: Solve for x
    x = 28,014,549,567.47/189,052.74
  6. Step 6: Final answer
    x = 148,183.78

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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.