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Finding the Fourth Proportional to 194,410.50, 268,286.49 and 104,986.50

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Solution

The fourth proportional to 194,410.50, 268,286.49 and 104,986.50 is: 144,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,410.50 : 268,286.49 = 104,986.50 : x
  2. Step 2: Convert to fraction form
    194,410.50/268,286.49 = 104,986.50/x
  3. Step 3: Cross multiply
    194,410.50x = 268,286.49 × 104,986.50
  4. Step 4: Simplify right side
    194,410.50x = 28,166,459,582.39
  5. Step 5: Solve for x
    x = 28,166,459,582.39/194,410.50
  6. Step 6: Final answer
    x = 144,881.37

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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.