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Finding the Fourth Proportional to 208,844.70, 288,205.94 and 113,351.42

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Solution

The fourth proportional to 208,844.70, 288,205.94 and 113,351.42 is: 156,425.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,844.70 : 288,205.94 = 113,351.42 : x
  2. Step 2: Convert to fraction form
    208,844.70/288,205.94 = 113,351.42/x
  3. Step 3: Cross multiply
    208,844.70x = 288,205.94 × 113,351.42
  4. Step 4: Simplify right side
    208,844.70x = 32,668,550,543.65
  5. Step 5: Solve for x
    x = 32,668,550,543.65/208,844.70
  6. Step 6: Final answer
    x = 156,425.09

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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.