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Finding the Fourth Proportional to 77,277.20, 115,697.10 and 68,529.20

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Solution

The fourth proportional to 77,277.20, 115,697.10 and 68,529.20 is: 102,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,277.20 : 115,697.10 = 68,529.20 : x
  2. Step 2: Convert to fraction form
    77,277.20/115,697.10 = 68,529.20/x
  3. Step 3: Cross multiply
    77,277.20x = 115,697.10 × 68,529.20
  4. Step 4: Simplify right side
    77,277.20x = 7,928,629,705.32
  5. Step 5: Solve for x
    x = 7,928,629,705.32/77,277.20
  6. Step 6: Final answer
    x = 102,599.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.