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Finding the Fourth Proportional to 202,086.26, 278,880.36 and 111,445.64

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Solution

The fourth proportional to 202,086.26, 278,880.36 and 111,445.64 is: 153,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,086.26 : 278,880.36 = 111,445.64 : x
  2. Step 2: Convert to fraction form
    202,086.26/278,880.36 = 111,445.64/x
  3. Step 3: Cross multiply
    202,086.26x = 278,880.36 × 111,445.64
  4. Step 4: Simplify right side
    202,086.26x = 31,080,000,203.63
  5. Step 5: Solve for x
    x = 31,080,000,203.63/202,086.26
  6. Step 6: Final answer
    x = 153,795.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.