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Finding the Fourth Proportional to 194,644.92, 268,609.26 and 105,220.92

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Solution

The fourth proportional to 194,644.92, 268,609.26 and 105,220.92 is: 145,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,644.92 : 268,609.26 = 105,220.92 : x
  2. Step 2: Convert to fraction form
    194,644.92/268,609.26 = 105,220.92/x
  3. Step 3: Cross multiply
    194,644.92x = 268,609.26 × 105,220.92
  4. Step 4: Simplify right side
    194,644.92x = 28,263,313,457.72
  5. Step 5: Solve for x
    x = 28,263,313,457.72/194,644.92
  6. Step 6: Final answer
    x = 145,204.48

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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.