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Finding the Fourth Proportional to 277,636.68, 416,626.32 and 109,127.44

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Solution

The fourth proportional to 277,636.68, 416,626.32 and 109,127.44 is: 163,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,636.68 : 416,626.32 = 109,127.44 : x
  2. Step 2: Convert to fraction form
    277,636.68/416,626.32 = 109,127.44/x
  3. Step 3: Cross multiply
    277,636.68x = 416,626.32 × 109,127.44
  4. Step 4: Simplify right side
    277,636.68x = 45,465,363,738.22
  5. Step 5: Solve for x
    x = 45,465,363,738.22/277,636.68
  6. Step 6: Final answer
    x = 163,758.49

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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.