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Finding the Fourth Proportional to 276,076.25, 414,123.59 and 76,379.93

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Solution

The fourth proportional to 276,076.25, 414,123.59 and 76,379.93 is: 114,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,076.25 : 414,123.59 = 76,379.93 : x
  2. Step 2: Convert to fraction form
    276,076.25/414,123.59 = 76,379.93/x
  3. Step 3: Cross multiply
    276,076.25x = 414,123.59 × 76,379.93
  4. Step 4: Simplify right side
    276,076.25x = 31,630,728,363.03
  5. Step 5: Solve for x
    x = 31,630,728,363.03/276,076.25
  6. Step 6: Final answer
    x = 114,572.44

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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.