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Finding the Fourth Proportional to 119,682.99, 165,160.35 and 65,968.20

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Solution

The fourth proportional to 119,682.99, 165,160.35 and 65,968.20 is: 91,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,682.99 : 165,160.35 = 65,968.20 : x
  2. Step 2: Convert to fraction form
    119,682.99/165,160.35 = 65,968.20/x
  3. Step 3: Cross multiply
    119,682.99x = 165,160.35 × 65,968.20
  4. Step 4: Simplify right side
    119,682.99x = 10,895,331,000.87
  5. Step 5: Solve for x
    x = 10,895,331,000.87/119,682.99
  6. Step 6: Final answer
    x = 91,034.92

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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.