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Finding the Fourth Proportional to 205,231.54, 283,216.75 and 114,588.89

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Solution

The fourth proportional to 205,231.54, 283,216.75 and 114,588.89 is: 158,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,231.54 : 283,216.75 = 114,588.89 : x
  2. Step 2: Convert to fraction form
    205,231.54/283,216.75 = 114,588.89/x
  3. Step 3: Cross multiply
    205,231.54x = 283,216.75 × 114,588.89
  4. Step 4: Simplify right side
    205,231.54x = 32,453,493,011.91
  5. Step 5: Solve for x
    x = 32,453,493,011.91/205,231.54
  6. Step 6: Final answer
    x = 158,131.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.