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Finding the Fourth Proportional to 254,578.14, 381,869.24 and 77,099.04

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Solution

The fourth proportional to 254,578.14, 381,869.24 and 77,099.04 is: 115,649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,578.14 : 381,869.24 = 77,099.04 : x
  2. Step 2: Convert to fraction form
    254,578.14/381,869.24 = 77,099.04/x
  3. Step 3: Cross multiply
    254,578.14x = 381,869.24 × 77,099.04
  4. Step 4: Simplify right side
    254,578.14x = 29,441,751,424.03
  5. Step 5: Solve for x
    x = 29,441,751,424.03/254,578.14
  6. Step 6: Final answer
    x = 115,649.17

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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.