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Finding the Fourth Proportional to 180,187.56, 270,311.76 and 61,830.36

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Solution

The fourth proportional to 180,187.56, 270,311.76 and 61,830.36 is: 92,755.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,187.56 : 270,311.76 = 61,830.36 : x
  2. Step 2: Convert to fraction form
    180,187.56/270,311.76 = 61,830.36/x
  3. Step 3: Cross multiply
    180,187.56x = 270,311.76 × 61,830.36
  4. Step 4: Simplify right side
    180,187.56x = 16,713,473,433.03
  5. Step 5: Solve for x
    x = 16,713,473,433.03/180,187.56
  6. Step 6: Final answer
    x = 92,755.98

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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.