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Finding the Fourth Proportional to 302,165.77, 416,989.59 and 166,213.64

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Solution

The fourth proportional to 302,165.77, 416,989.59 and 166,213.64 is: 229,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,165.77 : 416,989.59 = 166,213.64 : x
  2. Step 2: Convert to fraction form
    302,165.77/416,989.59 = 166,213.64/x
  3. Step 3: Cross multiply
    302,165.77x = 416,989.59 × 166,213.64
  4. Step 4: Simplify right side
    302,165.77x = 69,309,358,638.48
  5. Step 5: Solve for x
    x = 69,309,358,638.48/302,165.77
  6. Step 6: Final answer
    x = 229,375.28

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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.