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Finding the Fourth Proportional to 133,104.42, 199,655.82 and 33,264.09

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Solution

The fourth proportional to 133,104.42, 199,655.82 and 33,264.09 is: 49,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,104.42 : 199,655.82 = 33,264.09 : x
  2. Step 2: Convert to fraction form
    133,104.42/199,655.82 = 33,264.09/x
  3. Step 3: Cross multiply
    133,104.42x = 199,655.82 × 33,264.09
  4. Step 4: Simplify right side
    133,104.42x = 6,641,369,165.50
  5. Step 5: Solve for x
    x = 6,641,369,165.50/133,104.42
  6. Step 6: Final answer
    x = 49,895.93

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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.