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Finding the Fourth Proportional to 268,196.84, 402,295.25 and 68,517.66

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Solution

The fourth proportional to 268,196.84, 402,295.25 and 68,517.66 is: 102,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,196.84 : 402,295.25 = 68,517.66 : x
  2. Step 2: Convert to fraction form
    268,196.84/402,295.25 = 68,517.66/x
  3. Step 3: Cross multiply
    268,196.84x = 402,295.25 × 68,517.66
  4. Step 4: Simplify right side
    268,196.84x = 27,564,329,159.12
  5. Step 5: Solve for x
    x = 27,564,329,159.12/268,196.84
  6. Step 6: Final answer
    x = 102,776.49

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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.