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Finding the Fourth Proportional to 276,643.05, 414,299.33 and 157,954.65

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Solution

The fourth proportional to 276,643.05, 414,299.33 and 157,954.65 is: 236,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,643.05 : 414,299.33 = 157,954.65 : x
  2. Step 2: Convert to fraction form
    276,643.05/414,299.33 = 157,954.65/x
  3. Step 3: Cross multiply
    276,643.05x = 414,299.33 × 157,954.65
  4. Step 4: Simplify right side
    276,643.05x = 65,440,505,665.38
  5. Step 5: Solve for x
    x = 65,440,505,665.38/276,643.05
  6. Step 6: Final answer
    x = 236,552.14

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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.