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Finding the Fourth Proportional to 142,174.49, 213,425.75 and 72,201.42

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Solution

The fourth proportional to 142,174.49, 213,425.75 and 72,201.42 is: 108,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,174.49 : 213,425.75 = 72,201.42 : x
  2. Step 2: Convert to fraction form
    142,174.49/213,425.75 = 72,201.42/x
  3. Step 3: Cross multiply
    142,174.49x = 213,425.75 × 72,201.42
  4. Step 4: Simplify right side
    142,174.49x = 15,409,642,214.57
  5. Step 5: Solve for x
    x = 15,409,642,214.57/142,174.49
  6. Step 6: Final answer
    x = 108,385.43

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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.