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Finding the Fourth Proportional to 136,931.38, 188,964.01 and 76,512.43

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Solution

The fourth proportional to 136,931.38, 188,964.01 and 76,512.43 is: 105,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,931.38 : 188,964.01 = 76,512.43 : x
  2. Step 2: Convert to fraction form
    136,931.38/188,964.01 = 76,512.43/x
  3. Step 3: Cross multiply
    136,931.38x = 188,964.01 × 76,512.43
  4. Step 4: Simplify right side
    136,931.38x = 14,458,094,260.26
  5. Step 5: Solve for x
    x = 14,458,094,260.26/136,931.38
  6. Step 6: Final answer
    x = 105,586.42

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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.