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Finding the Fourth Proportional to 133,697.31, 200,536.08 and 49,418.13

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Solution

The fourth proportional to 133,697.31, 200,536.08 and 49,418.13 is: 74,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,697.31 : 200,536.08 = 49,418.13 : x
  2. Step 2: Convert to fraction form
    133,697.31/200,536.08 = 49,418.13/x
  3. Step 3: Cross multiply
    133,697.31x = 200,536.08 × 49,418.13
  4. Step 4: Simplify right side
    133,697.31x = 9,910,118,071.13
  5. Step 5: Solve for x
    x = 9,910,118,071.13/133,697.31
  6. Step 6: Final answer
    x = 74,123.54

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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.