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Finding the Fourth Proportional to 119,686.92, 165,160.44 and 65,968.98

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Solution

The fourth proportional to 119,686.92, 165,160.44 and 65,968.98 is: 91,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,686.92 : 165,160.44 = 65,968.98 : x
  2. Step 2: Convert to fraction form
    119,686.92/165,160.44 = 65,968.98/x
  3. Step 3: Cross multiply
    119,686.92x = 165,160.44 × 65,968.98
  4. Step 4: Simplify right side
    119,686.92x = 10,895,465,763.15
  5. Step 5: Solve for x
    x = 10,895,465,763.15/119,686.92
  6. Step 6: Final answer
    x = 91,033.05

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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.