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Finding the Fourth Proportional to 180,561.30, 270,945.66 and 141,007.38

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Solution

The fourth proportional to 180,561.30, 270,945.66 and 141,007.38 is: 211,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,561.30 : 270,945.66 = 141,007.38 : x
  2. Step 2: Convert to fraction form
    180,561.30/270,945.66 = 141,007.38/x
  3. Step 3: Cross multiply
    180,561.30x = 270,945.66 × 141,007.38
  4. Step 4: Simplify right side
    180,561.30x = 38,205,337,638.97
  5. Step 5: Solve for x
    x = 38,205,337,638.97/180,561.30
  6. Step 6: Final answer
    x = 211,592.06

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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.