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Finding the Fourth Proportional to 103,982.70, 155,682.45 and 101,066.70

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Solution

The fourth proportional to 103,982.70, 155,682.45 and 101,066.70 is: 151,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,982.70 : 155,682.45 = 101,066.70 : x
  2. Step 2: Convert to fraction form
    103,982.70/155,682.45 = 101,066.70/x
  3. Step 3: Cross multiply
    103,982.70x = 155,682.45 × 101,066.70
  4. Step 4: Simplify right side
    103,982.70x = 15,734,311,469.42
  5. Step 5: Solve for x
    x = 15,734,311,469.42/103,982.70
  6. Step 6: Final answer
    x = 151,316.63

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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.