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Finding the Fourth Proportional to 302,064.80, 416,859.82 and 166,103.87

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Solution

The fourth proportional to 302,064.80, 416,859.82 and 166,103.87 is: 229,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,064.80 : 416,859.82 = 166,103.87 : x
  2. Step 2: Convert to fraction form
    302,064.80/416,859.82 = 166,103.87/x
  3. Step 3: Cross multiply
    302,064.80x = 416,859.82 × 166,103.87
  4. Step 4: Simplify right side
    302,064.80x = 69,242,026,849.94
  5. Step 5: Solve for x
    x = 69,242,026,849.94/302,064.80
  6. Step 6: Final answer
    x = 229,229.05

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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.