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Finding the Fourth Proportional to 254,020.96, 380,960.36 and 76,502.17

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Solution

The fourth proportional to 254,020.96, 380,960.36 and 76,502.17 is: 114,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,020.96 : 380,960.36 = 76,502.17 : x
  2. Step 2: Convert to fraction form
    254,020.96/380,960.36 = 76,502.17/x
  3. Step 3: Cross multiply
    254,020.96x = 380,960.36 × 76,502.17
  4. Step 4: Simplify right side
    254,020.96x = 29,144,295,034.88
  5. Step 5: Solve for x
    x = 29,144,295,034.88/254,020.96
  6. Step 6: Final answer
    x = 114,731.85

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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.