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Finding the Fourth Proportional to 207,971.20, 311,956.80 and 119,497.60

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Solution

The fourth proportional to 207,971.20, 311,956.80 and 119,497.60 is: 179,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,971.20 : 311,956.80 = 119,497.60 : x
  2. Step 2: Convert to fraction form
    207,971.20/311,956.80 = 119,497.60/x
  3. Step 3: Cross multiply
    207,971.20x = 311,956.80 × 119,497.60
  4. Step 4: Simplify right side
    207,971.20x = 37,278,088,903.68
  5. Step 5: Solve for x
    x = 37,278,088,903.68/207,971.20
  6. Step 6: Final answer
    x = 179,246.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.