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Finding the Fourth Proportional to 164,406.78, 246,609.36 and 39,747.78

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Solution

The fourth proportional to 164,406.78, 246,609.36 and 39,747.78 is: 59,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,406.78 : 246,609.36 = 39,747.78 : x
  2. Step 2: Convert to fraction form
    164,406.78/246,609.36 = 39,747.78/x
  3. Step 3: Cross multiply
    164,406.78x = 246,609.36 × 39,747.78
  4. Step 4: Simplify right side
    164,406.78x = 9,802,174,587.22
  5. Step 5: Solve for x
    x = 9,802,174,587.22/164,406.78
  6. Step 6: Final answer
    x = 59,621.47

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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.