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Finding the Fourth Proportional to 205,329.85, 283,352.20 and 114,687.10

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Solution

The fourth proportional to 205,329.85, 283,352.20 and 114,687.10 is: 158,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,329.85 : 283,352.20 = 114,687.10 : x
  2. Step 2: Convert to fraction form
    205,329.85/283,352.20 = 114,687.10/x
  3. Step 3: Cross multiply
    205,329.85x = 283,352.20 × 114,687.10
  4. Step 4: Simplify right side
    205,329.85x = 32,496,842,096.62
  5. Step 5: Solve for x
    x = 32,496,842,096.62/205,329.85
  6. Step 6: Final answer
    x = 158,266.53

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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.