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Finding the Fourth Proportional to 194,438.21, 268,324.77 and 105,014.21

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Solution

The fourth proportional to 194,438.21, 268,324.77 and 105,014.21 is: 144,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,438.21 : 268,324.77 = 105,014.21 : x
  2. Step 2: Convert to fraction form
    194,438.21/268,324.77 = 105,014.21/x
  3. Step 3: Cross multiply
    194,438.21x = 268,324.77 × 105,014.21
  4. Step 4: Simplify right side
    194,438.21x = 28,177,913,744.98
  5. Step 5: Solve for x
    x = 28,177,913,744.98/194,438.21
  6. Step 6: Final answer
    x = 144,919.63

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1.5x scale

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.