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Finding the Fourth Proportional to 194,910.13, 268,976 and 105,486.13

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Solution

The fourth proportional to 194,910.13, 268,976 and 105,486.13 is: 145,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,910.13 : 268,976 = 105,486.13 : x
  2. Step 2: Convert to fraction form
    194,910.13/268,976 = 105,486.13/x
  3. Step 3: Cross multiply
    194,910.13x = 268,976 × 105,486.13
  4. Step 4: Simplify right side
    194,910.13x = 28,373,237,302.88
  5. Step 5: Solve for x
    x = 28,373,237,302.88/194,910.13
  6. Step 6: Final answer
    x = 145,570.87

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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.