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Finding the Fourth Proportional to 119,586.34, 165,029.34 and 65,871.55

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Solution

The fourth proportional to 119,586.34, 165,029.34 and 65,871.55 is: 90,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,586.34 : 165,029.34 = 65,871.55 : x
  2. Step 2: Convert to fraction form
    119,586.34/165,029.34 = 65,871.55/x
  3. Step 3: Cross multiply
    119,586.34x = 165,029.34 × 65,871.55
  4. Step 4: Simplify right side
    119,586.34x = 10,870,738,421.28
  5. Step 5: Solve for x
    x = 10,870,738,421.28/119,586.34
  6. Step 6: Final answer
    x = 90,902.84

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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.