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Finding the Fourth Proportional to 214,150.63, 295,515.49 and 118,651.63

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Solution

The fourth proportional to 214,150.63, 295,515.49 and 118,651.63 is: 163,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150.63 : 295,515.49 = 118,651.63 : x
  2. Step 2: Convert to fraction form
    214,150.63/295,515.49 = 118,651.63/x
  3. Step 3: Cross multiply
    214,150.63x = 295,515.49 × 118,651.63
  4. Step 4: Simplify right side
    214,150.63x = 35,063,394,578.75
  5. Step 5: Solve for x
    x = 35,063,394,578.75/214,150.63
  6. Step 6: Final answer
    x = 163,732.39

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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.