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Finding the Fourth Proportional to 202,302.20, 303,453.30 and 123,570.20

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Solution

The fourth proportional to 202,302.20, 303,453.30 and 123,570.20 is: 185,355.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,302.20 : 303,453.30 = 123,570.20 : x
  2. Step 2: Convert to fraction form
    202,302.20/303,453.30 = 123,570.20/x
  3. Step 3: Cross multiply
    202,302.20x = 303,453.30 × 123,570.20
  4. Step 4: Simplify right side
    202,302.20x = 37,497,784,971.66
  5. Step 5: Solve for x
    x = 37,497,784,971.66/202,302.20
  6. Step 6: Final answer
    x = 185,355.30

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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.