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Finding the Fourth Proportional to 190,196.71, 262,468.25 and 105,311.95

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Solution

The fourth proportional to 190,196.71, 262,468.25 and 105,311.95 is: 145,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,196.71 : 262,468.25 = 105,311.95 : x
  2. Step 2: Convert to fraction form
    190,196.71/262,468.25 = 105,311.95/x
  3. Step 3: Cross multiply
    190,196.71x = 262,468.25 × 105,311.95
  4. Step 4: Simplify right side
    190,196.71x = 27,641,042,432.78
  5. Step 5: Solve for x
    x = 27,641,042,432.78/190,196.71
  6. Step 6: Final answer
    x = 145,328.71

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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.