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Finding the Fourth Proportional to 254,879.68, 382,294.79 and 77,388.23

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Solution

The fourth proportional to 254,879.68, 382,294.79 and 77,388.23 is: 116,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,879.68 : 382,294.79 = 77,388.23 : x
  2. Step 2: Convert to fraction form
    254,879.68/382,294.79 = 77,388.23/x
  3. Step 3: Cross multiply
    254,879.68x = 382,294.79 × 77,388.23
  4. Step 4: Simplify right side
    254,879.68x = 29,585,114,837.91
  5. Step 5: Solve for x
    x = 29,585,114,837.91/254,879.68
  6. Step 6: Final answer
    x = 116,074.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.