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Finding the Fourth Proportional to 188,537.34, 260,183.28 and 103,655

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Solution

The fourth proportional to 188,537.34, 260,183.28 and 103,655 is: 143,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,537.34 : 260,183.28 = 103,655 : x
  2. Step 2: Convert to fraction form
    188,537.34/260,183.28 = 103,655/x
  3. Step 3: Cross multiply
    188,537.34x = 260,183.28 × 103,655
  4. Step 4: Simplify right side
    188,537.34x = 26,969,297,888.40
  5. Step 5: Solve for x
    x = 26,969,297,888.40/188,537.34
  6. Step 6: Final answer
    x = 143,044.86

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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.