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Finding the Fourth Proportional to 202,518.02, 303,775.92 and 82,574.51

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Solution

The fourth proportional to 202,518.02, 303,775.92 and 82,574.51 is: 123,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,518.02 : 303,775.92 = 82,574.51 : x
  2. Step 2: Convert to fraction form
    202,518.02/303,775.92 = 82,574.51/x
  3. Step 3: Cross multiply
    202,518.02x = 303,775.92 × 82,574.51
  4. Step 4: Simplify right side
    202,518.02x = 25,084,146,224.92
  5. Step 5: Solve for x
    x = 25,084,146,224.92/202,518.02
  6. Step 6: Final answer
    x = 123,861.30

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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.