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Finding the Fourth Proportional to 133,829.80, 200,744.70 and 131,756.20

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Solution

The fourth proportional to 133,829.80, 200,744.70 and 131,756.20 is: 197,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,829.80 : 200,744.70 = 131,756.20 : x
  2. Step 2: Convert to fraction form
    133,829.80/200,744.70 = 131,756.20/x
  3. Step 3: Cross multiply
    133,829.80x = 200,744.70 × 131,756.20
  4. Step 4: Simplify right side
    133,829.80x = 26,449,358,842.14
  5. Step 5: Solve for x
    x = 26,449,358,842.14/133,829.80
  6. Step 6: Final answer
    x = 197,634.30

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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.