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Finding the Fourth Proportional to 142,743.58, 196,994.39 and 78,212.93

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Solution

The fourth proportional to 142,743.58, 196,994.39 and 78,212.93 is: 107,938.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,743.58 : 196,994.39 = 78,212.93 : x
  2. Step 2: Convert to fraction form
    142,743.58/196,994.39 = 78,212.93/x
  3. Step 3: Cross multiply
    142,743.58x = 196,994.39 × 78,212.93
  4. Step 4: Simplify right side
    142,743.58x = 15,407,508,536.88
  5. Step 5: Solve for x
    x = 15,407,508,536.88/142,743.58
  6. Step 6: Final answer
    x = 107,938.37

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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.