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Finding the Fourth Proportional to 180,082.89, 270,045.18 and 95,823.02

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Solution

The fourth proportional to 180,082.89, 270,045.18 and 95,823.02 is: 143,692.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,082.89 : 270,045.18 = 95,823.02 : x
  2. Step 2: Convert to fraction form
    180,082.89/270,045.18 = 95,823.02/x
  3. Step 3: Cross multiply
    180,082.89x = 270,045.18 × 95,823.02
  4. Step 4: Simplify right side
    180,082.89x = 25,876,544,684.04
  5. Step 5: Solve for x
    x = 25,876,544,684.04/180,082.89
  6. Step 6: Final answer
    x = 143,692.41

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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.