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Finding the Fourth Proportional to 189,235.54, 283,531.99 and 114,198.01

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Solution

The fourth proportional to 189,235.54, 283,531.99 and 114,198.01 is: 171,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,235.54 : 283,531.99 = 114,198.01 : x
  2. Step 2: Convert to fraction form
    189,235.54/283,531.99 = 114,198.01/x
  3. Step 3: Cross multiply
    189,235.54x = 283,531.99 × 114,198.01
  4. Step 4: Simplify right side
    189,235.54x = 32,378,788,458.35
  5. Step 5: Solve for x
    x = 32,378,788,458.35/189,235.54
  6. Step 6: Final answer
    x = 171,103.10

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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.