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Finding the Fourth Proportional to 119,646.31, 165,111.20 and 65,198.38

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Solution

The fourth proportional to 119,646.31, 165,111.20 and 65,198.38 is: 89,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,646.31 : 165,111.20 = 65,198.38 : x
  2. Step 2: Convert to fraction form
    119,646.31/165,111.20 = 65,198.38/x
  3. Step 3: Cross multiply
    119,646.31x = 165,111.20 × 65,198.38
  4. Step 4: Simplify right side
    119,646.31x = 10,764,982,759.86
  5. Step 5: Solve for x
    x = 10,764,982,759.86/119,646.31
  6. Step 6: Final answer
    x = 89,973.38

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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.