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Finding the Fourth Proportional to 180,450.65, 270,713.34 and 54,085.79

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Solution

The fourth proportional to 180,450.65, 270,713.34 and 54,085.79 is: 81,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,450.65 : 270,713.34 = 54,085.79 : x
  2. Step 2: Convert to fraction form
    180,450.65/270,713.34 = 54,085.79/x
  3. Step 3: Cross multiply
    180,450.65x = 270,713.34 × 54,085.79
  4. Step 4: Simplify right side
    180,450.65x = 14,641,745,534.22
  5. Step 5: Solve for x
    x = 14,641,745,534.22/180,450.65
  6. Step 6: Final answer
    x = 81,139.89

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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.