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Finding the Fourth Proportional to 282,264.95, 389,701.23 and 196,196.78

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Solution

The fourth proportional to 282,264.95, 389,701.23 and 196,196.78 is: 270,873.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,264.95 : 389,701.23 = 196,196.78 : x
  2. Step 2: Convert to fraction form
    282,264.95/389,701.23 = 196,196.78/x
  3. Step 3: Cross multiply
    282,264.95x = 389,701.23 × 196,196.78
  4. Step 4: Simplify right side
    282,264.95x = 76,458,126,726.55
  5. Step 5: Solve for x
    x = 76,458,126,726.55/282,264.95
  6. Step 6: Final answer
    x = 270,873.61

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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.