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Finding the Fourth Proportional to 149,708.12, 206,638.90 and 86,066.42

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Solution

The fourth proportional to 149,708.12, 206,638.90 and 86,066.42 is: 118,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,708.12 : 206,638.90 = 86,066.42 : x
  2. Step 2: Convert to fraction form
    149,708.12/206,638.90 = 86,066.42/x
  3. Step 3: Cross multiply
    149,708.12x = 206,638.90 × 86,066.42
  4. Step 4: Simplify right side
    149,708.12x = 17,784,669,107.38
  5. Step 5: Solve for x
    x = 17,784,669,107.38/149,708.12
  6. Step 6: Final answer
    x = 118,795.63

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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.