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Finding the Fourth Proportional to 142,077.41, 196,066.42 and 78,414.75

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Solution

The fourth proportional to 142,077.41, 196,066.42 and 78,414.75 is: 108,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,077.41 : 196,066.42 = 78,414.75 : x
  2. Step 2: Convert to fraction form
    142,077.41/196,066.42 = 78,414.75/x
  3. Step 3: Cross multiply
    142,077.41x = 196,066.42 × 78,414.75
  4. Step 4: Simplify right side
    142,077.41x = 15,374,499,405.71
  5. Step 5: Solve for x
    x = 15,374,499,405.71/142,077.41
  6. Step 6: Final answer
    x = 108,212.13

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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.