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Finding the Fourth Proportional to 104,199.36, 143,794.92 and 56,454

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Solution

The fourth proportional to 104,199.36, 143,794.92 and 56,454 is: 77,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,199.36 : 143,794.92 = 56,454 : x
  2. Step 2: Convert to fraction form
    104,199.36/143,794.92 = 56,454/x
  3. Step 3: Cross multiply
    104,199.36x = 143,794.92 × 56,454
  4. Step 4: Simplify right side
    104,199.36x = 8,117,798,413.68
  5. Step 5: Solve for x
    x = 8,117,798,413.68/104,199.36
  6. Step 6: Final answer
    x = 77,906.41

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