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Finding the Fourth Proportional to 302,034.58, 416,796.50 and 166,060.43

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Solution

The fourth proportional to 302,034.58, 416,796.50 and 166,060.43 is: 229,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,034.58 : 416,796.50 = 166,060.43 : x
  2. Step 2: Convert to fraction form
    302,034.58/416,796.50 = 166,060.43/x
  3. Step 3: Cross multiply
    302,034.58x = 416,796.50 × 166,060.43
  4. Step 4: Simplify right side
    302,034.58x = 69,213,407,781.00
  5. Step 5: Solve for x
    x = 69,213,407,781.00/302,034.58
  6. Step 6: Final answer
    x = 229,157.23

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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.