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Finding the Fourth Proportional to 381,178.94, 571,772.84 and 114,941.75

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Solution

The fourth proportional to 381,178.94, 571,772.84 and 114,941.75 is: 172,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,178.94 : 571,772.84 = 114,941.75 : x
  2. Step 2: Convert to fraction form
    381,178.94/571,772.84 = 114,941.75/x
  3. Step 3: Cross multiply
    381,178.94x = 571,772.84 × 114,941.75
  4. Step 4: Simplify right side
    381,178.94x = 65,720,567,398.50
  5. Step 5: Solve for x
    x = 65,720,567,398.50/381,178.94
  6. Step 6: Final answer
    x = 172,413.95

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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.