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Finding the Fourth Proportional to 133,820.40, 200,757.60 and 39,050.40

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Solution

The fourth proportional to 133,820.40, 200,757.60 and 39,050.40 is: 58,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820.40 : 200,757.60 = 39,050.40 : x
  2. Step 2: Convert to fraction form
    133,820.40/200,757.60 = 39,050.40/x
  3. Step 3: Cross multiply
    133,820.40x = 200,757.60 × 39,050.40
  4. Step 4: Simplify right side
    133,820.40x = 7,839,664,583.04
  5. Step 5: Solve for x
    x = 7,839,664,583.04/133,820.40
  6. Step 6: Final answer
    x = 58,583.48

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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.