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Finding the Fourth Proportional to 216,593.80, 324,964.46 and 116,763.64

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Solution

The fourth proportional to 216,593.80, 324,964.46 and 116,763.64 is: 175,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,593.80 : 324,964.46 = 116,763.64 : x
  2. Step 2: Convert to fraction form
    216,593.80/324,964.46 = 116,763.64/x
  3. Step 3: Cross multiply
    216,593.80x = 324,964.46 × 116,763.64
  4. Step 4: Simplify right side
    216,593.80x = 37,944,033,220.23
  5. Step 5: Solve for x
    x = 37,944,033,220.23/216,593.80
  6. Step 6: Final answer
    x = 175,185.22

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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.