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Finding the Fourth Proportional to 189,190.35, 283,777.31 and 47,032.65

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Solution

The fourth proportional to 189,190.35, 283,777.31 and 47,032.65 is: 70,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,190.35 : 283,777.31 = 47,032.65 : x
  2. Step 2: Convert to fraction form
    189,190.35/283,777.31 = 47,032.65/x
  3. Step 3: Cross multiply
    189,190.35x = 283,777.31 × 47,032.65
  4. Step 4: Simplify right side
    189,190.35x = 13,346,797,480.28
  5. Step 5: Solve for x
    x = 13,346,797,480.28/189,190.35
  6. Step 6: Final answer
    x = 70,546.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.