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Finding the Fourth Proportional to 188,535.34, 260,180.52 and 103,653

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Solution

The fourth proportional to 188,535.34, 260,180.52 and 103,653 is: 143,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,535.34 : 260,180.52 = 103,653 : x
  2. Step 2: Convert to fraction form
    188,535.34/260,180.52 = 103,653/x
  3. Step 3: Cross multiply
    188,535.34x = 260,180.52 × 103,653
  4. Step 4: Simplify right side
    188,535.34x = 26,968,491,439.56
  5. Step 5: Solve for x
    x = 26,968,491,439.56/188,535.34
  6. Step 6: Final answer
    x = 143,042.10

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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.