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Finding the Fourth Proportional to 164,576.82, 246,678.54 and 75,646.56

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Solution

The fourth proportional to 164,576.82, 246,678.54 and 75,646.56 is: 113,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,576.82 : 246,678.54 = 75,646.56 : x
  2. Step 2: Convert to fraction form
    164,576.82/246,678.54 = 75,646.56/x
  3. Step 3: Cross multiply
    164,576.82x = 246,678.54 × 75,646.56
  4. Step 4: Simplify right side
    164,576.82x = 18,660,382,976.82
  5. Step 5: Solve for x
    x = 18,660,382,976.82/164,576.82
  6. Step 6: Final answer
    x = 113,384.03

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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.