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Finding the Fourth Proportional to 276,556.42, 414,895.11 and 89,586.82

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Solution

The fourth proportional to 276,556.42, 414,895.11 and 89,586.82 is: 134,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,556.42 : 414,895.11 = 89,586.82 : x
  2. Step 2: Convert to fraction form
    276,556.42/414,895.11 = 89,586.82/x
  3. Step 3: Cross multiply
    276,556.42x = 414,895.11 × 89,586.82
  4. Step 4: Simplify right side
    276,556.42x = 37,169,133,538.45
  5. Step 5: Solve for x
    x = 37,169,133,538.45/276,556.42
  6. Step 6: Final answer
    x = 134,399.82

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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.