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Finding the Fourth Proportional to 235,257.08, 352,687.24 and 102,037

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Solution

The fourth proportional to 235,257.08, 352,687.24 and 102,037 is: 152,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,257.08 : 352,687.24 = 102,037 : x
  2. Step 2: Convert to fraction form
    235,257.08/352,687.24 = 102,037/x
  3. Step 3: Cross multiply
    235,257.08x = 352,687.24 × 102,037
  4. Step 4: Simplify right side
    235,257.08x = 35,987,147,907.88
  5. Step 5: Solve for x
    x = 35,987,147,907.88/235,257.08
  6. Step 6: Final answer
    x = 152,969.46

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Why These Related Problems?

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