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Finding the Fourth Proportional to 276,362.91, 413,880.04 and 157,674.42

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Solution

The fourth proportional to 276,362.91, 413,880.04 and 157,674.42 is: 236,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,362.91 : 413,880.04 = 157,674.42 : x
  2. Step 2: Convert to fraction form
    276,362.91/413,880.04 = 157,674.42/x
  3. Step 3: Cross multiply
    276,362.91x = 413,880.04 × 157,674.42
  4. Step 4: Simplify right side
    276,362.91x = 65,258,293,581.36
  5. Step 5: Solve for x
    x = 65,258,293,581.36/276,362.91
  6. Step 6: Final answer
    x = 236,132.61

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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.