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Finding the Fourth Proportional to 133,499.32, 200,295.11 and 83,519.88

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Solution

The fourth proportional to 133,499.32, 200,295.11 and 83,519.88 is: 125,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,499.32 : 200,295.11 = 83,519.88 : x
  2. Step 2: Convert to fraction form
    133,499.32/200,295.11 = 83,519.88/x
  3. Step 3: Cross multiply
    133,499.32x = 200,295.11 × 83,519.88
  4. Step 4: Simplify right side
    133,499.32x = 16,728,623,520.06
  5. Step 5: Solve for x
    x = 16,728,623,520.06/133,499.32
  6. Step 6: Final answer
    x = 125,308.68

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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.