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Finding the Fourth Proportional to 84,206.39, 116,199.56 and 46,480.64

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Solution

The fourth proportional to 84,206.39, 116,199.56 and 46,480.64 is: 64,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206.39 : 116,199.56 = 46,480.64 : x
  2. Step 2: Convert to fraction form
    84,206.39/116,199.56 = 46,480.64/x
  3. Step 3: Cross multiply
    84,206.39x = 116,199.56 × 46,480.64
  4. Step 4: Simplify right side
    84,206.39x = 5,401,029,451.72
  5. Step 5: Solve for x
    x = 5,401,029,451.72/84,206.39
  6. Step 6: Final answer
    x = 64,140.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.