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Finding the Fourth Proportional to 254,888.29, 382,307.72 and 77,396.86

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Solution

The fourth proportional to 254,888.29, 382,307.72 and 77,396.86 is: 116,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,888.29 : 382,307.72 = 77,396.86 : x
  2. Step 2: Convert to fraction form
    254,888.29/382,307.72 = 77,396.86/x
  3. Step 3: Cross multiply
    254,888.29x = 382,307.72 × 77,396.86
  4. Step 4: Simplify right side
    254,888.29x = 29,589,415,170.22
  5. Step 5: Solve for x
    x = 29,589,415,170.22/254,888.29
  6. Step 6: Final answer
    x = 116,087.78

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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.