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Finding the Fourth Proportional to 254,757.30, 382,172.40 and 77,278.20

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Solution

The fourth proportional to 254,757.30, 382,172.40 and 77,278.20 is: 115,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,757.30 : 382,172.40 = 77,278.20 : x
  2. Step 2: Convert to fraction form
    254,757.30/382,172.40 = 77,278.20/x
  3. Step 3: Cross multiply
    254,757.30x = 382,172.40 × 77,278.20
  4. Step 4: Simplify right side
    254,757.30x = 29,533,595,161.68
  5. Step 5: Solve for x
    x = 29,533,595,161.68/254,757.30
  6. Step 6: Final answer
    x = 115,928.36

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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.