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Finding the Fourth Proportional to 170,765.86, 256,161.10 and 65,584.83

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Solution

The fourth proportional to 170,765.86, 256,161.10 and 65,584.83 is: 98,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,765.86 : 256,161.10 = 65,584.83 : x
  2. Step 2: Convert to fraction form
    170,765.86/256,161.10 = 65,584.83/x
  3. Step 3: Cross multiply
    170,765.86x = 256,161.10 × 65,584.83
  4. Step 4: Simplify right side
    170,765.86x = 16,800,282,196.11
  5. Step 5: Solve for x
    x = 16,800,282,196.11/170,765.86
  6. Step 6: Final answer
    x = 98,381.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.