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Finding the Fourth Proportional to 142,016.49, 195,982.34 and 78,354.34

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Solution

The fourth proportional to 142,016.49, 195,982.34 and 78,354.34 is: 108,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,016.49 : 195,982.34 = 78,354.34 : x
  2. Step 2: Convert to fraction form
    142,016.49/195,982.34 = 78,354.34/x
  3. Step 3: Cross multiply
    142,016.49x = 195,982.34 × 78,354.34
  4. Step 4: Simplify right side
    142,016.49x = 15,356,066,020.63
  5. Step 5: Solve for x
    x = 15,356,066,020.63/142,016.49
  6. Step 6: Final answer
    x = 108,128.75

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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.