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Finding the Fourth Proportional to 277,733.92, 416,601.49 and 100,366.20

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Solution

The fourth proportional to 277,733.92, 416,601.49 and 100,366.20 is: 150,549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,733.92 : 416,601.49 = 100,366.20 : x
  2. Step 2: Convert to fraction form
    277,733.92/416,601.49 = 100,366.20/x
  3. Step 3: Cross multiply
    277,733.92x = 416,601.49 × 100,366.20
  4. Step 4: Simplify right side
    277,733.92x = 41,812,708,465.64
  5. Step 5: Solve for x
    x = 41,812,708,465.64/277,733.92
  6. Step 6: Final answer
    x = 150,549.52

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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.