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Finding the Fourth Proportional to 194,222.94, 268,034.94 and 107,011.64

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Solution

The fourth proportional to 194,222.94, 268,034.94 and 107,011.64 is: 147,680.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,222.94 : 268,034.94 = 107,011.64 : x
  2. Step 2: Convert to fraction form
    194,222.94/268,034.94 = 107,011.64/x
  3. Step 3: Cross multiply
    194,222.94x = 268,034.94 × 107,011.64
  4. Step 4: Simplify right side
    194,222.94x = 28,682,857,166.53
  5. Step 5: Solve for x
    x = 28,682,857,166.53/194,222.94
  6. Step 6: Final answer
    x = 147,680.07

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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.