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Finding the Fourth Proportional to 142,077.36, 196,068.36 and 78,415.14

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Solution

The fourth proportional to 142,077.36, 196,068.36 and 78,415.14 is: 108,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,077.36 : 196,068.36 = 78,415.14 : x
  2. Step 2: Convert to fraction form
    142,077.36/196,068.36 = 78,415.14/x
  3. Step 3: Cross multiply
    142,077.36x = 196,068.36 × 78,415.14
  4. Step 4: Simplify right side
    142,077.36x = 15,374,727,898.97
  5. Step 5: Solve for x
    x = 15,374,727,898.97/142,077.36
  6. Step 6: Final answer
    x = 108,213.78

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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.