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Finding the Fourth Proportional to 189,273.88, 283,910.82 and 49,032.50

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Solution

The fourth proportional to 189,273.88, 283,910.82 and 49,032.50 is: 73,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,273.88 : 283,910.82 = 49,032.50 : x
  2. Step 2: Convert to fraction form
    189,273.88/283,910.82 = 49,032.50/x
  3. Step 3: Cross multiply
    189,273.88x = 283,910.82 × 49,032.50
  4. Step 4: Simplify right side
    189,273.88x = 13,920,857,281.65
  5. Step 5: Solve for x
    x = 13,920,857,281.65/189,273.88
  6. Step 6: Final answer
    x = 73,548.75

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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.