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Finding the Fourth Proportional to 202,039.56, 303,059.34 and 112,137.46

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Solution

The fourth proportional to 202,039.56, 303,059.34 and 112,137.46 is: 168,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,039.56 : 303,059.34 = 112,137.46 : x
  2. Step 2: Convert to fraction form
    202,039.56/303,059.34 = 112,137.46/x
  3. Step 3: Cross multiply
    202,039.56x = 303,059.34 × 112,137.46
  4. Step 4: Simplify right side
    202,039.56x = 33,984,303,859.23
  5. Step 5: Solve for x
    x = 33,984,303,859.23/202,039.56
  6. Step 6: Final answer
    x = 168,206.19

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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.