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Finding the Fourth Proportional to 166,354.52, 229,504.14 and 102,581.60

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Solution

The fourth proportional to 166,354.52, 229,504.14 and 102,581.60 is: 141,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,354.52 : 229,504.14 = 102,581.60 : x
  2. Step 2: Convert to fraction form
    166,354.52/229,504.14 = 102,581.60/x
  3. Step 3: Cross multiply
    166,354.52x = 229,504.14 × 102,581.60
  4. Step 4: Simplify right side
    166,354.52x = 23,542,901,887.82
  5. Step 5: Solve for x
    x = 23,542,901,887.82/166,354.52
  6. Step 6: Final answer
    x = 141,522.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.