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Finding the Fourth Proportional to 254,768.24, 382,207.92 and 77,289.08

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Solution

The fourth proportional to 254,768.24, 382,207.92 and 77,289.08 is: 115,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,768.24 : 382,207.92 = 77,289.08 : x
  2. Step 2: Convert to fraction form
    254,768.24/382,207.92 = 77,289.08/x
  3. Step 3: Cross multiply
    254,768.24x = 382,207.92 × 77,289.08
  4. Step 4: Simplify right side
    254,768.24x = 29,540,498,505.51
  5. Step 5: Solve for x
    x = 29,540,498,505.51/254,768.24
  6. Step 6: Final answer
    x = 115,950.48

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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.