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Finding the Fourth Proportional to 277,465.91, 416,199.06 and 67,104.05

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Solution

The fourth proportional to 277,465.91, 416,199.06 and 67,104.05 is: 100,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,465.91 : 416,199.06 = 67,104.05 : x
  2. Step 2: Convert to fraction form
    277,465.91/416,199.06 = 67,104.05/x
  3. Step 3: Cross multiply
    277,465.91x = 416,199.06 × 67,104.05
  4. Step 4: Simplify right side
    277,465.91x = 27,928,640,451.20
  5. Step 5: Solve for x
    x = 27,928,640,451.20/277,465.91
  6. Step 6: Final answer
    x = 100,656.12

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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.