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Finding the Fourth Proportional to 189,356.84, 283,835.08 and 82,647.23

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Solution

The fourth proportional to 189,356.84, 283,835.08 and 82,647.23 is: 123,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,356.84 : 283,835.08 = 82,647.23 : x
  2. Step 2: Convert to fraction form
    189,356.84/283,835.08 = 82,647.23/x
  3. Step 3: Cross multiply
    189,356.84x = 283,835.08 × 82,647.23
  4. Step 4: Simplify right side
    189,356.84x = 23,458,182,725.59
  5. Step 5: Solve for x
    x = 23,458,182,725.59/189,356.84
  6. Step 6: Final answer
    x = 123,883.47

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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.