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Finding the Fourth Proportional to 276,203.46, 414,314.10 and 76,525.77

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Solution

The fourth proportional to 276,203.46, 414,314.10 and 76,525.77 is: 114,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,203.46 : 414,314.10 = 76,525.77 : x
  2. Step 2: Convert to fraction form
    276,203.46/414,314.10 = 76,525.77/x
  3. Step 3: Cross multiply
    276,203.46x = 414,314.10 × 76,525.77
  4. Step 4: Simplify right side
    276,203.46x = 31,705,705,524.36
  5. Step 5: Solve for x
    x = 31,705,705,524.36/276,203.46
  6. Step 6: Final answer
    x = 114,791.12

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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.