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Finding the Fourth Proportional to 120,736.40, 180,958.80 and 61,541.60

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Solution

The fourth proportional to 120,736.40, 180,958.80 and 61,541.60 is: 92,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,736.40 : 180,958.80 = 61,541.60 : x
  2. Step 2: Convert to fraction form
    120,736.40/180,958.80 = 61,541.60/x
  3. Step 3: Cross multiply
    120,736.40x = 180,958.80 × 61,541.60
  4. Step 4: Simplify right side
    120,736.40x = 11,136,494,086.08
  5. Step 5: Solve for x
    x = 11,136,494,086.08/120,736.40
  6. Step 6: Final answer
    x = 92,238.08

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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.