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Finding the Fourth Proportional to 255,327.30, 382,826.52 and 122,204.34

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Solution

The fourth proportional to 255,327.30, 382,826.52 and 122,204.34 is: 183,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,327.30 : 382,826.52 = 122,204.34 : x
  2. Step 2: Convert to fraction form
    255,327.30/382,826.52 = 122,204.34/x
  3. Step 3: Cross multiply
    255,327.30x = 382,826.52 × 122,204.34
  4. Step 4: Simplify right side
    255,327.30x = 46,783,062,211.10
  5. Step 5: Solve for x
    x = 46,783,062,211.10/255,327.30
  6. Step 6: Final answer
    x = 183,227.81

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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.