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Finding the Fourth Proportional to 194,454.98, 268,382.70 and 113,877.80

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Solution

The fourth proportional to 194,454.98, 268,382.70 and 113,877.80 is: 157,171.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,454.98 : 268,382.70 = 113,877.80 : x
  2. Step 2: Convert to fraction form
    194,454.98/268,382.70 = 113,877.80/x
  3. Step 3: Cross multiply
    194,454.98x = 268,382.70 × 113,877.80
  4. Step 4: Simplify right side
    194,454.98x = 30,562,831,434.06
  5. Step 5: Solve for x
    x = 30,562,831,434.06/194,454.98
  6. Step 6: Final answer
    x = 157,171.76

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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.