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Finding the Fourth Proportional to 133,824.30, 200,601.45 and 49,530.30

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Solution

The fourth proportional to 133,824.30, 200,601.45 and 49,530.30 is: 74,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824.30 : 200,601.45 = 49,530.30 : x
  2. Step 2: Convert to fraction form
    133,824.30/200,601.45 = 49,530.30/x
  3. Step 3: Cross multiply
    133,824.30x = 200,601.45 × 49,530.30
  4. Step 4: Simplify right side
    133,824.30x = 9,935,849,998.94
  5. Step 5: Solve for x
    x = 9,935,849,998.94/133,824.30
  6. Step 6: Final answer
    x = 74,245.48

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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.