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Finding the Fourth Proportional to 194,470.77, 268,394.11 and 113,929.03

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Solution

The fourth proportional to 194,470.77, 268,394.11 and 113,929.03 is: 157,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,470.77 : 268,394.11 = 113,929.03 : x
  2. Step 2: Convert to fraction form
    194,470.77/268,394.11 = 113,929.03/x
  3. Step 3: Cross multiply
    194,470.77x = 268,394.11 × 113,929.03
  4. Step 4: Simplify right side
    194,470.77x = 30,577,880,660.68
  5. Step 5: Solve for x
    x = 30,577,880,660.68/194,470.77
  6. Step 6: Final answer
    x = 157,236.38

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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.