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Finding the Fourth Proportional to 138,576.28, 191,107.74 and 90,812.28

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Solution

The fourth proportional to 138,576.28, 191,107.74 and 90,812.28 is: 125,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,576.28 : 191,107.74 = 90,812.28 : x
  2. Step 2: Convert to fraction form
    138,576.28/191,107.74 = 90,812.28/x
  3. Step 3: Cross multiply
    138,576.28x = 191,107.74 × 90,812.28
  4. Step 4: Simplify right side
    138,576.28x = 17,354,929,595.05
  5. Step 5: Solve for x
    x = 17,354,929,595.05/138,576.28
  6. Step 6: Final answer
    x = 125,237.38

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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.