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Finding the Fourth Proportional to 276,079.92, 413,874.74 and 107,561.24

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Solution

The fourth proportional to 276,079.92, 413,874.74 and 107,561.24 is: 161,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,079.92 : 413,874.74 = 107,561.24 : x
  2. Step 2: Convert to fraction form
    276,079.92/413,874.74 = 107,561.24/x
  3. Step 3: Cross multiply
    276,079.92x = 413,874.74 × 107,561.24
  4. Step 4: Simplify right side
    276,079.92x = 44,516,880,239.08
  5. Step 5: Solve for x
    x = 44,516,880,239.08/276,079.92
  6. Step 6: Final answer
    x = 161,246.35

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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.