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Finding the Fourth Proportional to 194,710.68, 268,704.24 and 114,196.29

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Solution

The fourth proportional to 194,710.68, 268,704.24 and 114,196.29 is: 157,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,710.68 : 268,704.24 = 114,196.29 : x
  2. Step 2: Convert to fraction form
    194,710.68/268,704.24 = 114,196.29/x
  3. Step 3: Cross multiply
    194,710.68x = 268,704.24 × 114,196.29
  4. Step 4: Simplify right side
    194,710.68x = 30,685,027,315.27
  5. Step 5: Solve for x
    x = 30,685,027,315.27/194,710.68
  6. Step 6: Final answer
    x = 157,592.93

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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.