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Finding the Fourth Proportional to 208,556.33, 312,834.42 and 180,392.63

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Solution

The fourth proportional to 208,556.33, 312,834.42 and 180,392.63 is: 270,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,556.33 : 312,834.42 = 180,392.63 : x
  2. Step 2: Convert to fraction form
    208,556.33/312,834.42 = 180,392.63/x
  3. Step 3: Cross multiply
    208,556.33x = 312,834.42 × 180,392.63
  4. Step 4: Simplify right side
    208,556.33x = 56,433,022,214.15
  5. Step 5: Solve for x
    x = 56,433,022,214.15/208,556.33
  6. Step 6: Final answer
    x = 270,588.88

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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.