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Finding the Fourth Proportional to 119,865.24, 165,418.01 and 65,420.39

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Solution

The fourth proportional to 119,865.24, 165,418.01 and 65,420.39 is: 90,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,865.24 : 165,418.01 = 65,420.39 : x
  2. Step 2: Convert to fraction form
    119,865.24/165,418.01 = 65,420.39/x
  3. Step 3: Cross multiply
    119,865.24x = 165,418.01 × 65,420.39
  4. Step 4: Simplify right side
    119,865.24x = 10,821,709,573.03
  5. Step 5: Solve for x
    x = 10,821,709,573.03/119,865.24
  6. Step 6: Final answer
    x = 90,282.30

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