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Finding the Fourth Proportional to 302,131.20, 416,932.20 and 166,165.02

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Solution

The fourth proportional to 302,131.20, 416,932.20 and 166,165.02 is: 229,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,131.20 : 416,932.20 = 166,165.02 : x
  2. Step 2: Convert to fraction form
    302,131.20/416,932.20 = 166,165.02/x
  3. Step 3: Cross multiply
    302,131.20x = 416,932.20 × 166,165.02
  4. Step 4: Simplify right side
    302,131.20x = 69,279,547,351.64
  5. Step 5: Solve for x
    x = 69,279,547,351.64/302,131.20
  6. Step 6: Final answer
    x = 229,302.86

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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.