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Finding the Fourth Proportional to 68,194, 102,292.28 and 18,947.28

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Solution

The fourth proportional to 68,194, 102,292.28 and 18,947.28 is: 28,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,194 : 102,292.28 = 18,947.28 : x
  2. Step 2: Convert to fraction form
    68,194/102,292.28 = 18,947.28/x
  3. Step 3: Cross multiply
    68,194x = 102,292.28 × 18,947.28
  4. Step 4: Simplify right side
    68,194x = 1,938,160,471.00
  5. Step 5: Solve for x
    x = 1,938,160,471.00/68,194
  6. Step 6: Final answer
    x = 28,421.28

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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.