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Finding the Fourth Proportional to 129,576.07, 178,821.03 and 75,878.38

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Solution

The fourth proportional to 129,576.07, 178,821.03 and 75,878.38 is: 104,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,576.07 : 178,821.03 = 75,878.38 : x
  2. Step 2: Convert to fraction form
    129,576.07/178,821.03 = 75,878.38/x
  3. Step 3: Cross multiply
    129,576.07x = 178,821.03 × 75,878.38
  4. Step 4: Simplify right side
    129,576.07x = 13,568,650,066.33
  5. Step 5: Solve for x
    x = 13,568,650,066.33/129,576.07
  6. Step 6: Final answer
    x = 104,715.71

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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.