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Finding the Fourth Proportional to 141,239, 194,906.46 and 77,576.60

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Solution

The fourth proportional to 141,239, 194,906.46 and 77,576.60 is: 107,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,239 : 194,906.46 = 77,576.60 : x
  2. Step 2: Convert to fraction form
    141,239/194,906.46 = 77,576.60/x
  3. Step 3: Cross multiply
    141,239x = 194,906.46 × 77,576.60
  4. Step 4: Simplify right side
    141,239x = 15,120,180,484.84
  5. Step 5: Solve for x
    x = 15,120,180,484.84/141,239
  6. Step 6: Final answer
    x = 107,053.86

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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.