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Finding the Fourth Proportional to 100,066.70, 149,735.55 and 73,822.70

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Solution

The fourth proportional to 100,066.70, 149,735.55 and 73,822.70 is: 110,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,066.70 : 149,735.55 = 73,822.70 : x
  2. Step 2: Convert to fraction form
    100,066.70/149,735.55 = 73,822.70/x
  3. Step 3: Cross multiply
    100,066.70x = 149,735.55 × 73,822.70
  4. Step 4: Simplify right side
    100,066.70x = 11,053,882,586.99
  5. Step 5: Solve for x
    x = 11,053,882,586.99/100,066.70
  6. Step 6: Final answer
    x = 110,465.15

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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.