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Finding the Fourth Proportional to 149,659.38, 206,475.80 and 115,214.64

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Solution

The fourth proportional to 149,659.38, 206,475.80 and 115,214.64 is: 158,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,659.38 : 206,475.80 = 115,214.64 : x
  2. Step 2: Convert to fraction form
    149,659.38/206,475.80 = 115,214.64/x
  3. Step 3: Cross multiply
    149,659.38x = 206,475.80 × 115,214.64
  4. Step 4: Simplify right side
    149,659.38x = 23,789,034,965.71
  5. Step 5: Solve for x
    x = 23,789,034,965.71/149,659.38
  6. Step 6: Final answer
    x = 158,954.52

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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.