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Finding the Fourth Proportional to 205,147.76, 283,092.38 and 114,509.57

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Solution

The fourth proportional to 205,147.76, 283,092.38 and 114,509.57 is: 158,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,147.76 : 283,092.38 = 114,509.57 : x
  2. Step 2: Convert to fraction form
    205,147.76/283,092.38 = 114,509.57/x
  3. Step 3: Cross multiply
    205,147.76x = 283,092.38 × 114,509.57
  4. Step 4: Simplify right side
    205,147.76x = 32,416,784,716.07
  5. Step 5: Solve for x
    x = 32,416,784,716.07/205,147.76
  6. Step 6: Final answer
    x = 158,016.77

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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.