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Finding the Fourth Proportional to 101,452.84, 151,962.54 and 82,391.56

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Solution

The fourth proportional to 101,452.84, 151,962.54 and 82,391.56 is: 123,411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,452.84 : 151,962.54 = 82,391.56 : x
  2. Step 2: Convert to fraction form
    101,452.84/151,962.54 = 82,391.56/x
  3. Step 3: Cross multiply
    101,452.84x = 151,962.54 × 82,391.56
  4. Step 4: Simplify right side
    101,452.84x = 12,520,430,732.16
  5. Step 5: Solve for x
    x = 12,520,430,732.16/101,452.84
  6. Step 6: Final answer
    x = 123,411.34

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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.