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Finding the Fourth Proportional to 205,558.83, 283,673.29 and 114,919.83

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Solution

The fourth proportional to 205,558.83, 283,673.29 and 114,919.83 is: 158,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,558.83 : 283,673.29 = 114,919.83 : x
  2. Step 2: Convert to fraction form
    205,558.83/283,673.29 = 114,919.83/x
  3. Step 3: Cross multiply
    205,558.83x = 283,673.29 × 114,919.83
  4. Step 4: Simplify right side
    205,558.83x = 32,599,686,190.52
  5. Step 5: Solve for x
    x = 32,599,686,190.52/205,558.83
  6. Step 6: Final answer
    x = 158,590.54

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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.