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Finding the Fourth Proportional to 135,015.84, 186,276.24 and 78,406.56

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Solution

The fourth proportional to 135,015.84, 186,276.24 and 78,406.56 is: 108,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,015.84 : 186,276.24 = 78,406.56 : x
  2. Step 2: Convert to fraction form
    135,015.84/186,276.24 = 78,406.56/x
  3. Step 3: Cross multiply
    135,015.84x = 186,276.24 × 78,406.56
  4. Step 4: Simplify right side
    135,015.84x = 14,605,279,188.13
  5. Step 5: Solve for x
    x = 14,605,279,188.13/135,015.84
  6. Step 6: Final answer
    x = 108,174.56

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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.