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Finding the Fourth Proportional to 146,676.92, 202,379.45 and 83,014.71

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Solution

The fourth proportional to 146,676.92, 202,379.45 and 83,014.71 is: 114,540.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,676.92 : 202,379.45 = 83,014.71 : x
  2. Step 2: Convert to fraction form
    146,676.92/202,379.45 = 83,014.71/x
  3. Step 3: Cross multiply
    146,676.92x = 202,379.45 × 83,014.71
  4. Step 4: Simplify right side
    146,676.92x = 16,800,470,936.64
  5. Step 5: Solve for x
    x = 16,800,470,936.64/146,676.92
  6. Step 6: Final answer
    x = 114,540.66

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1.5x scale

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.