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Finding the Fourth Proportional to 142,077.74, 196,066.31 and 78,415.54

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Solution

The fourth proportional to 142,077.74, 196,066.31 and 78,415.54 is: 108,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,077.74 : 196,066.31 = 78,415.54 : x
  2. Step 2: Convert to fraction form
    142,077.74/196,066.31 = 78,415.54/x
  3. Step 3: Cross multiply
    142,077.74x = 196,066.31 × 78,415.54
  4. Step 4: Simplify right side
    142,077.74x = 15,374,644,692.21
  5. Step 5: Solve for x
    x = 15,374,644,692.21/142,077.74
  6. Step 6: Final answer
    x = 108,212.91

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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.