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Finding the Fourth Proportional to 194,919.70, 268,991.43 and 114,348.60

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Solution

The fourth proportional to 194,919.70, 268,991.43 and 114,348.60 is: 157,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,919.70 : 268,991.43 = 114,348.60 : x
  2. Step 2: Convert to fraction form
    194,919.70/268,991.43 = 114,348.60/x
  3. Step 3: Cross multiply
    194,919.70x = 268,991.43 × 114,348.60
  4. Step 4: Simplify right side
    194,919.70x = 30,758,793,432.50
  5. Step 5: Solve for x
    x = 30,758,793,432.50/194,919.70
  6. Step 6: Final answer
    x = 157,802.38

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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.