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Finding the Fourth Proportional to 202,319.24, 303,511.82 and 75,969.27

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Solution

The fourth proportional to 202,319.24, 303,511.82 and 75,969.27 is: 113,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,319.24 : 303,511.82 = 75,969.27 : x
  2. Step 2: Convert to fraction form
    202,319.24/303,511.82 = 75,969.27/x
  3. Step 3: Cross multiply
    202,319.24x = 303,511.82 × 75,969.27
  4. Step 4: Simplify right side
    202,319.24x = 23,057,571,401.77
  5. Step 5: Solve for x
    x = 23,057,571,401.77/202,319.24
  6. Step 6: Final answer
    x = 113,966.28

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1.5x scale

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.