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Finding the Fourth Proportional to 189,952.75, 285,027.54 and 96,458.50

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Solution

The fourth proportional to 189,952.75, 285,027.54 and 96,458.50 is: 144,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,952.75 : 285,027.54 = 96,458.50 : x
  2. Step 2: Convert to fraction form
    189,952.75/285,027.54 = 96,458.50/x
  3. Step 3: Cross multiply
    189,952.75x = 285,027.54 × 96,458.50
  4. Step 4: Simplify right side
    189,952.75x = 27,493,328,967.09
  5. Step 5: Solve for x
    x = 27,493,328,967.09/189,952.75
  6. Step 6: Final answer
    x = 144,737.73

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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.