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Finding the Fourth Proportional to 128,074.27, 192,120.63 and 49,188.50

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Solution

The fourth proportional to 128,074.27, 192,120.63 and 49,188.50 is: 73,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,074.27 : 192,120.63 = 49,188.50 : x
  2. Step 2: Convert to fraction form
    128,074.27/192,120.63 = 49,188.50/x
  3. Step 3: Cross multiply
    128,074.27x = 192,120.63 × 49,188.50
  4. Step 4: Simplify right side
    128,074.27x = 9,450,124,402.21
  5. Step 5: Solve for x
    x = 9,450,124,402.21/128,074.27
  6. Step 6: Final answer
    x = 73,786.29

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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.