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Finding the Fourth Proportional to 194,451.63, 268,343.42 and 105,027.63

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Solution

The fourth proportional to 194,451.63, 268,343.42 and 105,027.63 is: 144,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,451.63 : 268,343.42 = 105,027.63 : x
  2. Step 2: Convert to fraction form
    194,451.63/268,343.42 = 105,027.63/x
  3. Step 3: Cross multiply
    194,451.63x = 268,343.42 × 105,027.63
  4. Step 4: Simplify right side
    194,451.63x = 28,183,473,428.69
  5. Step 5: Solve for x
    x = 28,183,473,428.69/194,451.63
  6. Step 6: Final answer
    x = 144,938.22

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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.