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Finding the Fourth Proportional to 133,815.72, 200,713.32 and 49,536.30

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Solution

The fourth proportional to 133,815.72, 200,713.32 and 49,536.30 is: 74,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,815.72 : 200,713.32 = 49,536.30 : x
  2. Step 2: Convert to fraction form
    133,815.72/200,713.32 = 49,536.30/x
  3. Step 3: Cross multiply
    133,815.72x = 200,713.32 × 49,536.30
  4. Step 4: Simplify right side
    133,815.72x = 9,942,595,233.52
  5. Step 5: Solve for x
    x = 9,942,595,233.52/133,815.72
  6. Step 6: Final answer
    x = 74,300.65

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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.