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Finding the Fourth Proportional to 105,825.88, 158,894.34 and 104,270.68

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Solution

The fourth proportional to 105,825.88, 158,894.34 and 104,270.68 is: 156,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,825.88 : 158,894.34 = 104,270.68 : x
  2. Step 2: Convert to fraction form
    105,825.88/158,894.34 = 104,270.68/x
  3. Step 3: Cross multiply
    105,825.88x = 158,894.34 × 104,270.68
  4. Step 4: Simplify right side
    105,825.88x = 16,568,020,879.95
  5. Step 5: Solve for x
    x = 16,568,020,879.95/105,825.88
  6. Step 6: Final answer
    x = 156,559.25

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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.