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Finding the Fourth Proportional to 119,704.96, 165,193.93 and 65,991.88

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Solution

The fourth proportional to 119,704.96, 165,193.93 and 65,991.88 is: 91,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,704.96 : 165,193.93 = 65,991.88 : x
  2. Step 2: Convert to fraction form
    119,704.96/165,193.93 = 65,991.88/x
  3. Step 3: Cross multiply
    119,704.96x = 165,193.93 × 65,991.88
  4. Step 4: Simplify right side
    119,704.96x = 10,901,458,294.27
  5. Step 5: Solve for x
    x = 10,901,458,294.27/119,704.96
  6. Step 6: Final answer
    x = 91,069.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.