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Finding the Fourth Proportional to 189,021.60, 283,559.40 and 55,884.60

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Solution

The fourth proportional to 189,021.60, 283,559.40 and 55,884.60 is: 83,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,021.60 : 283,559.40 = 55,884.60 : x
  2. Step 2: Convert to fraction form
    189,021.60/283,559.40 = 55,884.60/x
  3. Step 3: Cross multiply
    189,021.60x = 283,559.40 × 55,884.60
  4. Step 4: Simplify right side
    189,021.60x = 15,846,603,645.24
  5. Step 5: Solve for x
    x = 15,846,603,645.24/189,021.60
  6. Step 6: Final answer
    x = 83,834.88

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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.