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Finding the Fourth Proportional to 119,644.30, 165,107.19 and 65,197.18

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Solution

The fourth proportional to 119,644.30, 165,107.19 and 65,197.18 is: 89,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,644.30 : 165,107.19 = 65,197.18 : x
  2. Step 2: Convert to fraction form
    119,644.30/165,107.19 = 65,197.18/x
  3. Step 3: Cross multiply
    119,644.30x = 165,107.19 × 65,197.18
  4. Step 4: Simplify right side
    119,644.30x = 10,764,523,185.72
  5. Step 5: Solve for x
    x = 10,764,523,185.72/119,644.30
  6. Step 6: Final answer
    x = 89,971.05

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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.