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Finding the Fourth Proportional to 202,445.30, 303,797.55 and 118,205.30

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Solution

The fourth proportional to 202,445.30, 303,797.55 and 118,205.30 is: 177,383.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,445.30 : 303,797.55 = 118,205.30 : x
  2. Step 2: Convert to fraction form
    202,445.30/303,797.55 = 118,205.30/x
  3. Step 3: Cross multiply
    202,445.30x = 303,797.55 × 118,205.30
  4. Step 4: Simplify right side
    202,445.30x = 35,910,480,537.02
  5. Step 5: Solve for x
    x = 35,910,480,537.02/202,445.30
  6. Step 6: Final answer
    x = 177,383.62

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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.