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Finding the Fourth Proportional to 146,164.44, 219,248.31 and 51,397.44

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Solution

The fourth proportional to 146,164.44, 219,248.31 and 51,397.44 is: 77,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,164.44 : 219,248.31 = 51,397.44 : x
  2. Step 2: Convert to fraction form
    146,164.44/219,248.31 = 51,397.44/x
  3. Step 3: Cross multiply
    146,164.44x = 219,248.31 × 51,397.44
  4. Step 4: Simplify right side
    146,164.44x = 11,268,801,858.33
  5. Step 5: Solve for x
    x = 11,268,801,858.33/146,164.44
  6. Step 6: Final answer
    x = 77,096.74

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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.