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Finding the Fourth Proportional to 122,106.30, 183,169.53 and 33,360.54

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Solution

The fourth proportional to 122,106.30, 183,169.53 and 33,360.54 is: 50,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,106.30 : 183,169.53 = 33,360.54 : x
  2. Step 2: Convert to fraction form
    122,106.30/183,169.53 = 33,360.54/x
  3. Step 3: Cross multiply
    122,106.30x = 183,169.53 × 33,360.54
  4. Step 4: Simplify right side
    122,106.30x = 6,110,634,432.35
  5. Step 5: Solve for x
    x = 6,110,634,432.35/122,106.30
  6. Step 6: Final answer
    x = 50,043.56

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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.