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Finding the Fourth Proportional to 185,002.65, 255,241.33 and 120,442.41

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Solution

The fourth proportional to 185,002.65, 255,241.33 and 120,442.41 is: 166,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,002.65 : 255,241.33 = 120,442.41 : x
  2. Step 2: Convert to fraction form
    185,002.65/255,241.33 = 120,442.41/x
  3. Step 3: Cross multiply
    185,002.65x = 255,241.33 × 120,442.41
  4. Step 4: Simplify right side
    185,002.65x = 30,741,880,615.70
  5. Step 5: Solve for x
    x = 30,741,880,615.70/185,002.65
  6. Step 6: Final answer
    x = 166,169.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.