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Finding the Fourth Proportional to 149,691.04, 206,572.64 and 82,623.04

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Solution

The fourth proportional to 149,691.04, 206,572.64 and 82,623.04 is: 114,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,691.04 : 206,572.64 = 82,623.04 : x
  2. Step 2: Convert to fraction form
    149,691.04/206,572.64 = 82,623.04/x
  3. Step 3: Cross multiply
    149,691.04x = 206,572.64 × 82,623.04
  4. Step 4: Simplify right side
    149,691.04x = 17,067,659,497.63
  5. Step 5: Solve for x
    x = 17,067,659,497.63/149,691.04
  6. Step 6: Final answer
    x = 114,019.25

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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.