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Finding the Fourth Proportional to 202,613.07, 303,824.20 and 118,397.58

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Solution

The fourth proportional to 202,613.07, 303,824.20 and 118,397.58 is: 177,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,613.07 : 303,824.20 = 118,397.58 : x
  2. Step 2: Convert to fraction form
    202,613.07/303,824.20 = 118,397.58/x
  3. Step 3: Cross multiply
    202,613.07x = 303,824.20 × 118,397.58
  4. Step 4: Simplify right side
    202,613.07x = 35,972,050,025.44
  5. Step 5: Solve for x
    x = 35,972,050,025.44/202,613.07
  6. Step 6: Final answer
    x = 177,540.62

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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.