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Finding the Fourth Proportional to 202,240.94, 303,361.54 and 83,880.50

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Solution

The fourth proportional to 202,240.94, 303,361.54 and 83,880.50 is: 125,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,240.94 : 303,361.54 = 83,880.50 : x
  2. Step 2: Convert to fraction form
    202,240.94/303,361.54 = 83,880.50/x
  3. Step 3: Cross multiply
    202,240.94x = 303,361.54 × 83,880.50
  4. Step 4: Simplify right side
    202,240.94x = 25,446,117,655.97
  5. Step 5: Solve for x
    x = 25,446,117,655.97/202,240.94
  6. Step 6: Final answer
    x = 125,820.80

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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.