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Finding the Fourth Proportional to 188,589.14, 283,069.61 and 138,528.71

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Solution

The fourth proportional to 188,589.14, 283,069.61 and 138,528.71 is: 207,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,589.14 : 283,069.61 = 138,528.71 : x
  2. Step 2: Convert to fraction form
    188,589.14/283,069.61 = 138,528.71/x
  3. Step 3: Cross multiply
    188,589.14x = 283,069.61 × 138,528.71
  4. Step 4: Simplify right side
    188,589.14x = 39,213,267,913.50
  5. Step 5: Solve for x
    x = 39,213,267,913.50/188,589.14
  6. Step 6: Final answer
    x = 207,929.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.