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Finding the Fourth Proportional to 133,848.33, 200,761.56 and 45,099.87

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Solution

The fourth proportional to 133,848.33, 200,761.56 and 45,099.87 is: 67,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,848.33 : 200,761.56 = 45,099.87 : x
  2. Step 2: Convert to fraction form
    133,848.33/200,761.56 = 45,099.87/x
  3. Step 3: Cross multiply
    133,848.33x = 200,761.56 × 45,099.87
  4. Step 4: Simplify right side
    133,848.33x = 9,054,320,257.00
  5. Step 5: Solve for x
    x = 9,054,320,257.00/133,848.33
  6. Step 6: Final answer
    x = 67,646.12

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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.