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Finding the Fourth Proportional to 133,059.41, 199,674.77 and 53,083.72

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Solution

The fourth proportional to 133,059.41, 199,674.77 and 53,083.72 is: 79,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,059.41 : 199,674.77 = 53,083.72 : x
  2. Step 2: Convert to fraction form
    133,059.41/199,674.77 = 53,083.72/x
  3. Step 3: Cross multiply
    133,059.41x = 199,674.77 × 53,083.72
  4. Step 4: Simplify right side
    133,059.41x = 10,599,479,581.74
  5. Step 5: Solve for x
    x = 10,599,479,581.74/133,059.41
  6. Step 6: Final answer
    x = 79,659.75

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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.