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Finding the Fourth Proportional to 129,665, 178,953.54 and 73,086.68

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Solution

The fourth proportional to 129,665, 178,953.54 and 73,086.68 is: 100,868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,665 : 178,953.54 = 73,086.68 : x
  2. Step 2: Convert to fraction form
    129,665/178,953.54 = 73,086.68/x
  3. Step 3: Cross multiply
    129,665x = 178,953.54 × 73,086.68
  4. Step 4: Simplify right side
    129,665x = 13,079,120,112.85
  5. Step 5: Solve for x
    x = 13,079,120,112.85/129,665
  6. Step 6: Final answer
    x = 100,868.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.