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Finding the Fourth Proportional to 182,858.31, 252,365.73 and 106,380.64

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Solution

The fourth proportional to 182,858.31, 252,365.73 and 106,380.64 is: 146,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,858.31 : 252,365.73 = 106,380.64 : x
  2. Step 2: Convert to fraction form
    182,858.31/252,365.73 = 106,380.64/x
  3. Step 3: Cross multiply
    182,858.31x = 252,365.73 × 106,380.64
  4. Step 4: Simplify right side
    182,858.31x = 26,846,827,788.00
  5. Step 5: Solve for x
    x = 26,846,827,788.00/182,858.31
  6. Step 6: Final answer
    x = 146,817.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.