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Finding the Fourth Proportional to 302,213.57, 417,064.55 and 166,257.90

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Solution

The fourth proportional to 302,213.57, 417,064.55 and 166,257.90 is: 229,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,213.57 : 417,064.55 = 166,257.90 : x
  2. Step 2: Convert to fraction form
    302,213.57/417,064.55 = 166,257.90/x
  3. Step 3: Cross multiply
    302,213.57x = 417,064.55 × 166,257.90
  4. Step 4: Simplify right side
    302,213.57x = 69,340,275,416.16
  5. Step 5: Solve for x
    x = 69,340,275,416.16/302,213.57
  6. Step 6: Final answer
    x = 229,441.31

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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.