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Finding the Fourth Proportional to 254,165.84, 381,251.49 and 76,674.38

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Solution

The fourth proportional to 254,165.84, 381,251.49 and 76,674.38 is: 115,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,165.84 : 381,251.49 = 76,674.38 : x
  2. Step 2: Convert to fraction form
    254,165.84/381,251.49 = 76,674.38/x
  3. Step 3: Cross multiply
    254,165.84x = 381,251.49 × 76,674.38
  4. Step 4: Simplify right side
    254,165.84x = 29,232,222,572.95
  5. Step 5: Solve for x
    x = 29,232,222,572.95/254,165.84
  6. Step 6: Final answer
    x = 115,012.40

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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.