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Finding the Fourth Proportional to 142,194.76, 196,227.56 and 78,531.19

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Solution

The fourth proportional to 142,194.76, 196,227.56 and 78,531.19 is: 108,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,194.76 : 196,227.56 = 78,531.19 : x
  2. Step 2: Convert to fraction form
    142,194.76/196,227.56 = 78,531.19/x
  3. Step 3: Cross multiply
    142,194.76x = 196,227.56 × 78,531.19
  4. Step 4: Simplify right side
    142,194.76x = 15,409,983,503.36
  5. Step 5: Solve for x
    x = 15,409,983,503.36/142,194.76
  6. Step 6: Final answer
    x = 108,372.37

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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.