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Finding the Fourth Proportional to 180,251.33, 270,294.98 and 95,989.86

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Solution

The fourth proportional to 180,251.33, 270,294.98 and 95,989.86 is: 143,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,251.33 : 270,294.98 = 95,989.86 : x
  2. Step 2: Convert to fraction form
    180,251.33/270,294.98 = 95,989.86/x
  3. Step 3: Cross multiply
    180,251.33x = 270,294.98 × 95,989.86
  4. Step 4: Simplify right side
    180,251.33x = 25,945,576,808.95
  5. Step 5: Solve for x
    x = 25,945,576,808.95/180,251.33
  6. Step 6: Final answer
    x = 143,941.12

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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.