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Finding the Fourth Proportional to 194,515.70, 268,431.44 and 105,091.70

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Solution

The fourth proportional to 194,515.70, 268,431.44 and 105,091.70 is: 145,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,515.70 : 268,431.44 = 105,091.70 : x
  2. Step 2: Convert to fraction form
    194,515.70/268,431.44 = 105,091.70/x
  3. Step 3: Cross multiply
    194,515.70x = 268,431.44 × 105,091.70
  4. Step 4: Simplify right side
    194,515.70x = 28,209,914,495.43
  5. Step 5: Solve for x
    x = 28,209,914,495.43/194,515.70
  6. Step 6: Final answer
    x = 145,026.42

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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.