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Finding the Fourth Proportional to 119,576.84, 165,023.54 and 65,861.84

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Solution

The fourth proportional to 119,576.84, 165,023.54 and 65,861.84 is: 90,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,576.84 : 165,023.54 = 65,861.84 : x
  2. Step 2: Convert to fraction form
    119,576.84/165,023.54 = 65,861.84/x
  3. Step 3: Cross multiply
    119,576.84x = 165,023.54 × 65,861.84
  4. Step 4: Simplify right side
    119,576.84x = 10,868,753,658.40
  5. Step 5: Solve for x
    x = 10,868,753,658.40/119,576.84
  6. Step 6: Final answer
    x = 90,893.47

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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.