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Finding the Fourth Proportional to 251,201.94, 346,420.68 and 165,009.30

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Solution

The fourth proportional to 251,201.94, 346,420.68 and 165,009.30 is: 227,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,201.94 : 346,420.68 = 165,009.30 : x
  2. Step 2: Convert to fraction form
    251,201.94/346,420.68 = 165,009.30/x
  3. Step 3: Cross multiply
    251,201.94x = 346,420.68 × 165,009.30
  4. Step 4: Simplify right side
    251,201.94x = 57,162,633,912.32
  5. Step 5: Solve for x
    x = 57,162,633,912.32/251,201.94
  6. Step 6: Final answer
    x = 227,556.50

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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.