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Finding the Fourth Proportional to 110,289.66, 165,413.37 and 42,821.69

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Solution

The fourth proportional to 110,289.66, 165,413.37 and 42,821.69 is: 64,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,289.66 : 165,413.37 = 42,821.69 : x
  2. Step 2: Convert to fraction form
    110,289.66/165,413.37 = 42,821.69/x
  3. Step 3: Cross multiply
    110,289.66x = 165,413.37 × 42,821.69
  4. Step 4: Simplify right side
    110,289.66x = 7,083,279,385.51
  5. Step 5: Solve for x
    x = 7,083,279,385.51/110,289.66
  6. Step 6: Final answer
    x = 64,224.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.