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Finding the Fourth Proportional to 133,472.56, 200,069.36 and 44,653.00

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Solution

The fourth proportional to 133,472.56, 200,069.36 and 44,653.00 is: 66,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,472.56 : 200,069.36 = 44,653.00 : x
  2. Step 2: Convert to fraction form
    133,472.56/200,069.36 = 44,653.00/x
  3. Step 3: Cross multiply
    133,472.56x = 200,069.36 × 44,653.00
  4. Step 4: Simplify right side
    133,472.56x = 8,933,695,908.47
  5. Step 5: Solve for x
    x = 8,933,695,908.47/133,472.56
  6. Step 6: Final answer
    x = 66,932.83

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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.