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Finding the Fourth Proportional to 146,494.66, 219,763.92 and 53,022.28

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Solution

The fourth proportional to 146,494.66, 219,763.92 and 53,022.28 is: 79,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,494.66 : 219,763.92 = 53,022.28 : x
  2. Step 2: Convert to fraction form
    146,494.66/219,763.92 = 53,022.28/x
  3. Step 3: Cross multiply
    146,494.66x = 219,763.92 × 53,022.28
  4. Step 4: Simplify right side
    146,494.66x = 11,652,383,863.37
  5. Step 5: Solve for x
    x = 11,652,383,863.37/146,494.66
  6. Step 6: Final answer
    x = 79,541.36

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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.