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Finding the Fourth Proportional to 110,413.74, 165,619.94 and 66,052.88

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Solution

The fourth proportional to 110,413.74, 165,619.94 and 66,052.88 is: 99,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,413.74 : 165,619.94 = 66,052.88 : x
  2. Step 2: Convert to fraction form
    110,413.74/165,619.94 = 66,052.88/x
  3. Step 3: Cross multiply
    110,413.74x = 165,619.94 × 66,052.88
  4. Step 4: Simplify right side
    110,413.74x = 10,939,674,022.43
  5. Step 5: Solve for x
    x = 10,939,674,022.43/110,413.74
  6. Step 6: Final answer
    x = 99,078.92

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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.