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Finding the Fourth Proportional to 189,279.88, 283,919.82 and 49,038.52

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Solution

The fourth proportional to 189,279.88, 283,919.82 and 49,038.52 is: 73,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,279.88 : 283,919.82 = 49,038.52 : x
  2. Step 2: Convert to fraction form
    189,279.88/283,919.82 = 49,038.52/x
  3. Step 3: Cross multiply
    189,279.88x = 283,919.82 × 49,038.52
  4. Step 4: Simplify right side
    189,279.88x = 13,923,007,771.47
  5. Step 5: Solve for x
    x = 13,923,007,771.47/189,279.88
  6. Step 6: Final answer
    x = 73,557.78

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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.