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Finding the Fourth Proportional to 202,269.52, 303,157.88 and 143,122

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Solution

The fourth proportional to 202,269.52, 303,157.88 and 143,122 is: 214,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,269.52 : 303,157.88 = 143,122 : x
  2. Step 2: Convert to fraction form
    202,269.52/303,157.88 = 143,122/x
  3. Step 3: Cross multiply
    202,269.52x = 303,157.88 × 143,122
  4. Step 4: Simplify right side
    202,269.52x = 43,388,562,101.36
  5. Step 5: Solve for x
    x = 43,388,562,101.36/202,269.52
  6. Step 6: Final answer
    x = 214,508.65

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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.