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Finding the Fourth Proportional to 242,489.16, 334,576.03 and 159,694.59

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Solution

The fourth proportional to 242,489.16, 334,576.03 and 159,694.59 is: 220,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,489.16 : 334,576.03 = 159,694.59 : x
  2. Step 2: Convert to fraction form
    242,489.16/334,576.03 = 159,694.59/x
  3. Step 3: Cross multiply
    242,489.16x = 334,576.03 × 159,694.59
  4. Step 4: Simplify right side
    242,489.16x = 53,429,981,535.44
  5. Step 5: Solve for x
    x = 53,429,981,535.44/242,489.16
  6. Step 6: Final answer
    x = 220,339.67

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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.