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Finding the Fourth Proportional to 101,254.28, 151,902.90 and 34,676.54

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Solution

The fourth proportional to 101,254.28, 151,902.90 and 34,676.54 is: 52,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,254.28 : 151,902.90 = 34,676.54 : x
  2. Step 2: Convert to fraction form
    101,254.28/151,902.90 = 34,676.54/x
  3. Step 3: Cross multiply
    101,254.28x = 151,902.90 × 34,676.54
  4. Step 4: Simplify right side
    101,254.28x = 5,267,466,228.45
  5. Step 5: Solve for x
    x = 5,267,466,228.45/101,254.28
  6. Step 6: Final answer
    x = 52,022.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.