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Finding the Fourth Proportional to 263,538.36, 395,381.35 and 105,877.53

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Solution

The fourth proportional to 263,538.36, 395,381.35 and 105,877.53 is: 158,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,538.36 : 395,381.35 = 105,877.53 : x
  2. Step 2: Convert to fraction form
    263,538.36/395,381.35 = 105,877.53/x
  3. Step 3: Cross multiply
    263,538.36x = 395,381.35 × 105,877.53
  4. Step 4: Simplify right side
    263,538.36x = 41,862,000,878.41
  5. Step 5: Solve for x
    x = 41,862,000,878.41/263,538.36
  6. Step 6: Final answer
    x = 158,845.95

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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.