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Finding the Fourth Proportional to 194,853.50, 268,898.01 and 109,968.74

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Solution

The fourth proportional to 194,853.50, 268,898.01 and 109,968.74 is: 151,756.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,853.50 : 268,898.01 = 109,968.74 : x
  2. Step 2: Convert to fraction form
    194,853.50/268,898.01 = 109,968.74/x
  3. Step 3: Cross multiply
    194,853.50x = 268,898.01 × 109,968.74
  4. Step 4: Simplify right side
    194,853.50x = 29,570,375,348.21
  5. Step 5: Solve for x
    x = 29,570,375,348.21/194,853.50
  6. Step 6: Final answer
    x = 151,756.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.