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Finding the Fourth Proportional to 119,907.40, 165,469.92 and 66,194.08

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Solution

The fourth proportional to 119,907.40, 165,469.92 and 66,194.08 is: 91,346.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,907.40 : 165,469.92 = 66,194.08 : x
  2. Step 2: Convert to fraction form
    119,907.40/165,469.92 = 66,194.08/x
  3. Step 3: Cross multiply
    119,907.40x = 165,469.92 × 66,194.08
  4. Step 4: Simplify right side
    119,907.40x = 10,953,129,122.07
  5. Step 5: Solve for x
    x = 10,953,129,122.07/119,907.40
  6. Step 6: Final answer
    x = 91,346.57

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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.