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Finding the Fourth Proportional to 323,716.80, 485,669.96 and 166,055.16

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Solution

The fourth proportional to 323,716.80, 485,669.96 and 166,055.16 is: 249,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,716.80 : 485,669.96 = 166,055.16 : x
  2. Step 2: Convert to fraction form
    323,716.80/485,669.96 = 166,055.16/x
  3. Step 3: Cross multiply
    323,716.80x = 485,669.96 × 166,055.16
  4. Step 4: Simplify right side
    323,716.80x = 80,648,002,914.99
  5. Step 5: Solve for x
    x = 80,648,002,914.99/323,716.80
  6. Step 6: Final answer
    x = 249,131.35

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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.