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Finding the Fourth Proportional to 180,561.34, 270,841.38 and 54,201.07

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Solution

The fourth proportional to 180,561.34, 270,841.38 and 54,201.07 is: 81,301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,561.34 : 270,841.38 = 54,201.07 : x
  2. Step 2: Convert to fraction form
    180,561.34/270,841.38 = 54,201.07/x
  3. Step 3: Cross multiply
    180,561.34x = 270,841.38 × 54,201.07
  4. Step 4: Simplify right side
    180,561.34x = 14,679,893,874.42
  5. Step 5: Solve for x
    x = 14,679,893,874.42/180,561.34
  6. Step 6: Final answer
    x = 81,301.42

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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.