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Finding the Fourth Proportional to 123,029.20, 184,106.40 and 85,412.80

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Solution

The fourth proportional to 123,029.20, 184,106.40 and 85,412.80 is: 127,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,029.20 : 184,106.40 = 85,412.80 : x
  2. Step 2: Convert to fraction form
    123,029.20/184,106.40 = 85,412.80/x
  3. Step 3: Cross multiply
    123,029.20x = 184,106.40 × 85,412.80
  4. Step 4: Simplify right side
    123,029.20x = 15,725,043,121.92
  5. Step 5: Solve for x
    x = 15,725,043,121.92/123,029.20
  6. Step 6: Final answer
    x = 127,815.54

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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.