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Finding the Fourth Proportional to 84,206.56, 116,205.16 and 46,480.81

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Solution

The fourth proportional to 84,206.56, 116,205.16 and 46,480.81 is: 64,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206.56 : 116,205.16 = 46,480.81 : x
  2. Step 2: Convert to fraction form
    84,206.56/116,205.16 = 46,480.81/x
  3. Step 3: Cross multiply
    84,206.56x = 116,205.16 × 46,480.81
  4. Step 4: Simplify right side
    84,206.56x = 5,401,309,962.98
  5. Step 5: Solve for x
    x = 5,401,309,962.98/84,206.56
  6. Step 6: Final answer
    x = 64,143.58

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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.