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Finding the Fourth Proportional to 133,071, 199,608.66 and 38,302.44

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Solution

The fourth proportional to 133,071, 199,608.66 and 38,302.44 is: 57,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,071 : 199,608.66 = 38,302.44 : x
  2. Step 2: Convert to fraction form
    133,071/199,608.66 = 38,302.44/x
  3. Step 3: Cross multiply
    133,071x = 199,608.66 × 38,302.44
  4. Step 4: Simplify right side
    133,071x = 7,645,498,723.13
  5. Step 5: Solve for x
    x = 7,645,498,723.13/133,071
  6. Step 6: Final answer
    x = 57,454.28

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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.