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Finding the Fourth Proportional to 180,932.80, 271,690.80 and 122,029.60

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Solution

The fourth proportional to 180,932.80, 271,690.80 and 122,029.60 is: 183,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,932.80 : 271,690.80 = 122,029.60 : x
  2. Step 2: Convert to fraction form
    180,932.80/271,690.80 = 122,029.60/x
  3. Step 3: Cross multiply
    180,932.80x = 271,690.80 × 122,029.60
  4. Step 4: Simplify right side
    180,932.80x = 33,154,319,647.68
  5. Step 5: Solve for x
    x = 33,154,319,647.68/180,932.80
  6. Step 6: Final answer
    x = 183,241.07

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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.