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Finding the Fourth Proportional to 271,628.80, 407,281.20 and 166,523.20

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Solution

The fourth proportional to 271,628.80, 407,281.20 and 166,523.20 is: 249,685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,628.80 : 407,281.20 = 166,523.20 : x
  2. Step 2: Convert to fraction form
    271,628.80/407,281.20 = 166,523.20/x
  3. Step 3: Cross multiply
    271,628.80x = 407,281.20 × 166,523.20
  4. Step 4: Simplify right side
    271,628.80x = 67,821,768,723.84
  5. Step 5: Solve for x
    x = 67,821,768,723.84/271,628.80
  6. Step 6: Final answer
    x = 249,685.49

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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.