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Finding the Fourth Proportional to 263,256.72, 363,294.30 and 148,559.64

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Solution

The fourth proportional to 263,256.72, 363,294.30 and 148,559.64 is: 205,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,256.72 : 363,294.30 = 148,559.64 : x
  2. Step 2: Convert to fraction form
    263,256.72/363,294.30 = 148,559.64/x
  3. Step 3: Cross multiply
    263,256.72x = 363,294.30 × 148,559.64
  4. Step 4: Simplify right side
    263,256.72x = 53,970,870,422.05
  5. Step 5: Solve for x
    x = 53,970,870,422.05/263,256.72
  6. Step 6: Final answer
    x = 205,012.32

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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.