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Finding the Fourth Proportional to 302,055.48, 416,845.62 and 166,082.40

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Solution

The fourth proportional to 302,055.48, 416,845.62 and 166,082.40 is: 229,198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,055.48 : 416,845.62 = 166,082.40 : x
  2. Step 2: Convert to fraction form
    302,055.48/416,845.62 = 166,082.40/x
  3. Step 3: Cross multiply
    302,055.48x = 416,845.62 × 166,082.40
  4. Step 4: Simplify right side
    302,055.48x = 69,230,720,999.09
  5. Step 5: Solve for x
    x = 69,230,720,999.09/302,055.48
  6. Step 6: Final answer
    x = 229,198.69

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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.