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Finding the Fourth Proportional to 189,027.60, 283,568.40 and 55,890.60

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Solution

The fourth proportional to 189,027.60, 283,568.40 and 55,890.60 is: 83,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,027.60 : 283,568.40 = 55,890.60 : x
  2. Step 2: Convert to fraction form
    189,027.60/283,568.40 = 55,890.60/x
  3. Step 3: Cross multiply
    189,027.60x = 283,568.40 × 55,890.60
  4. Step 4: Simplify right side
    189,027.60x = 15,848,808,017.04
  5. Step 5: Solve for x
    x = 15,848,808,017.04/189,027.60
  6. Step 6: Final answer
    x = 83,843.88

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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.