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Finding the Fourth Proportional to 142,091.68, 196,072.68 and 78,425.50

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Solution

The fourth proportional to 142,091.68, 196,072.68 and 78,425.50 is: 108,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,091.68 : 196,072.68 = 78,425.50 : x
  2. Step 2: Convert to fraction form
    142,091.68/196,072.68 = 78,425.50/x
  3. Step 3: Cross multiply
    142,091.68x = 196,072.68 × 78,425.50
  4. Step 4: Simplify right side
    142,091.68x = 15,377,097,965.34
  5. Step 5: Solve for x
    x = 15,377,097,965.34/142,091.68
  6. Step 6: Final answer
    x = 108,219.55

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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.