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Finding the Fourth Proportional to 277,733.80, 416,601.30 and 100,366.08

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Solution

The fourth proportional to 277,733.80, 416,601.30 and 100,366.08 is: 150,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,733.80 : 416,601.30 = 100,366.08 : x
  2. Step 2: Convert to fraction form
    277,733.80/416,601.30 = 100,366.08/x
  3. Step 3: Cross multiply
    277,733.80x = 416,601.30 × 100,366.08
  4. Step 4: Simplify right side
    277,733.80x = 41,812,639,403.90
  5. Step 5: Solve for x
    x = 41,812,639,403.90/277,733.80
  6. Step 6: Final answer
    x = 150,549.34

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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.