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Finding the Fourth Proportional to 133,444.58, 200,245.92 and 49,263.44

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Solution

The fourth proportional to 133,444.58, 200,245.92 and 49,263.44 is: 73,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,444.58 : 200,245.92 = 49,263.44 : x
  2. Step 2: Convert to fraction form
    133,444.58/200,245.92 = 49,263.44/x
  3. Step 3: Cross multiply
    133,444.58x = 200,245.92 × 49,263.44
  4. Step 4: Simplify right side
    133,444.58x = 9,864,802,865.16
  5. Step 5: Solve for x
    x = 9,864,802,865.16/133,444.58
  6. Step 6: Final answer
    x = 73,924.34

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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.