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Finding the Fourth Proportional to 276,216.73, 414,323.96 and 76,536.55

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Solution

The fourth proportional to 276,216.73, 414,323.96 and 76,536.55 is: 114,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,216.73 : 414,323.96 = 76,536.55 : x
  2. Step 2: Convert to fraction form
    276,216.73/414,323.96 = 76,536.55/x
  3. Step 3: Cross multiply
    276,216.73x = 414,323.96 × 76,536.55
  4. Step 4: Simplify right side
    276,216.73x = 31,710,924,715.91
  5. Step 5: Solve for x
    x = 31,710,924,715.91/276,216.73
  6. Step 6: Final answer
    x = 114,804.50

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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.