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Finding the Fourth Proportional to 84,206, 116,204.29 and 46,480.26

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Solution

The fourth proportional to 84,206, 116,204.29 and 46,480.26 is: 64,142.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206 : 116,204.29 = 46,480.26 : x
  2. Step 2: Convert to fraction form
    84,206/116,204.29 = 46,480.26/x
  3. Step 3: Cross multiply
    84,206x = 116,204.29 × 46,480.26
  4. Step 4: Simplify right side
    84,206x = 5,401,205,612.32
  5. Step 5: Solve for x
    x = 5,401,205,612.32/84,206
  6. Step 6: Final answer
    x = 64,142.76

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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.