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Finding the Fourth Proportional to 180,389.49, 270,508.11 and 54,047.70

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Solution

The fourth proportional to 180,389.49, 270,508.11 and 54,047.70 is: 81,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,389.49 : 270,508.11 = 54,047.70 : x
  2. Step 2: Convert to fraction form
    180,389.49/270,508.11 = 54,047.70/x
  3. Step 3: Cross multiply
    180,389.49x = 270,508.11 × 54,047.70
  4. Step 4: Simplify right side
    180,389.49x = 14,620,341,176.85
  5. Step 5: Solve for x
    x = 14,620,341,176.85/180,389.49
  6. Step 6: Final answer
    x = 81,048.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.