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Finding the Fourth Proportional to 302,113.38, 416,908.14 and 166,147.33

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Solution

The fourth proportional to 302,113.38, 416,908.14 and 166,147.33 is: 229,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,113.38 : 416,908.14 = 166,147.33 : x
  2. Step 2: Convert to fraction form
    302,113.38/416,908.14 = 166,147.33/x
  3. Step 3: Cross multiply
    302,113.38x = 416,908.14 × 166,147.33
  4. Step 4: Simplify right side
    302,113.38x = 69,268,173,253.08
  5. Step 5: Solve for x
    x = 69,268,173,253.08/302,113.38
  6. Step 6: Final answer
    x = 229,278.73

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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.