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Finding the Fourth Proportional to 194,450.50, 268,341.87 and 105,026.50

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Solution

The fourth proportional to 194,450.50, 268,341.87 and 105,026.50 is: 144,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,450.50 : 268,341.87 = 105,026.50 : x
  2. Step 2: Convert to fraction form
    194,450.50/268,341.87 = 105,026.50/x
  3. Step 3: Cross multiply
    194,450.50x = 268,341.87 × 105,026.50
  4. Step 4: Simplify right side
    194,450.50x = 28,183,007,409.56
  5. Step 5: Solve for x
    x = 28,183,007,409.56/194,450.50
  6. Step 6: Final answer
    x = 144,936.67

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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.