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Finding the Fourth Proportional to 195,161.50, 269,323.14 and 105,737.50

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Solution

The fourth proportional to 195,161.50, 269,323.14 and 105,737.50 is: 145,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,161.50 : 269,323.14 = 105,737.50 : x
  2. Step 2: Convert to fraction form
    195,161.50/269,323.14 = 105,737.50/x
  3. Step 3: Cross multiply
    195,161.50x = 269,323.14 × 105,737.50
  4. Step 4: Simplify right side
    195,161.50x = 28,477,555,515.75
  5. Step 5: Solve for x
    x = 28,477,555,515.75/195,161.50
  6. Step 6: Final answer
    x = 145,917.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.