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Finding the Fourth Proportional to 189,273.88, 283,910.80 and 49,032.52

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Solution

The fourth proportional to 189,273.88, 283,910.80 and 49,032.52 is: 73,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,273.88 : 283,910.80 = 49,032.52 : x
  2. Step 2: Convert to fraction form
    189,273.88/283,910.80 = 49,032.52/x
  3. Step 3: Cross multiply
    189,273.88x = 283,910.80 × 49,032.52
  4. Step 4: Simplify right side
    189,273.88x = 13,920,861,979.22
  5. Step 5: Solve for x
    x = 13,920,861,979.22/189,273.88
  6. Step 6: Final answer
    x = 73,548.77

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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.