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Finding the Fourth Proportional to 342,814.14, 514,221.30 and 118,238.94

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Solution

The fourth proportional to 342,814.14, 514,221.30 and 118,238.94 is: 177,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,814.14 : 514,221.30 = 118,238.94 : x
  2. Step 2: Convert to fraction form
    342,814.14/514,221.30 = 118,238.94/x
  3. Step 3: Cross multiply
    342,814.14x = 514,221.30 × 118,238.94
  4. Step 4: Simplify right side
    342,814.14x = 60,800,981,437.42
  5. Step 5: Solve for x
    x = 60,800,981,437.42/342,814.14
  6. Step 6: Final answer
    x = 177,358.44

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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.