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Finding the Fourth Proportional to 164,283.84, 246,553.92 and 75,576.96

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Solution

The fourth proportional to 164,283.84, 246,553.92 and 75,576.96 is: 113,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,283.84 : 246,553.92 = 75,576.96 : x
  2. Step 2: Convert to fraction form
    164,283.84/246,553.92 = 75,576.96/x
  3. Step 3: Cross multiply
    164,283.84x = 246,553.92 × 75,576.96
  4. Step 4: Simplify right side
    164,283.84x = 18,633,795,749.68
  5. Step 5: Solve for x
    x = 18,633,795,749.68/164,283.84
  6. Step 6: Final answer
    x = 113,424.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.