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Finding the Fourth Proportional to 135,453.12, 186,911.52 and 78,076.80

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Solution

The fourth proportional to 135,453.12, 186,911.52 and 78,076.80 is: 107,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,453.12 : 186,911.52 = 78,076.80 : x
  2. Step 2: Convert to fraction form
    135,453.12/186,911.52 = 78,076.80/x
  3. Step 3: Cross multiply
    135,453.12x = 186,911.52 × 78,076.80
  4. Step 4: Simplify right side
    135,453.12x = 14,593,453,364.74
  5. Step 5: Solve for x
    x = 14,593,453,364.74/135,453.12
  6. Step 6: Final answer
    x = 107,738.04

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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.