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Finding the Fourth Proportional to 205,693.56, 308,221.20 and 142,636.68

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Solution

The fourth proportional to 205,693.56, 308,221.20 and 142,636.68 is: 213,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,693.56 : 308,221.20 = 142,636.68 : x
  2. Step 2: Convert to fraction form
    205,693.56/308,221.20 = 142,636.68/x
  3. Step 3: Cross multiply
    205,693.56x = 308,221.20 × 142,636.68
  4. Step 4: Simplify right side
    205,693.56x = 43,963,648,673.62
  5. Step 5: Solve for x
    x = 43,963,648,673.62/205,693.56
  6. Step 6: Final answer
    x = 213,733.71

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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.