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Finding the Fourth Proportional to 204,830.95, 282,687.69 and 114,201.67

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Solution

The fourth proportional to 204,830.95, 282,687.69 and 114,201.67 is: 157,610.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,830.95 : 282,687.69 = 114,201.67 : x
  2. Step 2: Convert to fraction form
    204,830.95/282,687.69 = 114,201.67/x
  3. Step 3: Cross multiply
    204,830.95x = 282,687.69 × 114,201.67
  4. Step 4: Simplify right side
    204,830.95x = 32,283,406,286.44
  5. Step 5: Solve for x
    x = 32,283,406,286.44/204,830.95
  6. Step 6: Final answer
    x = 157,610.00

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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.