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Finding the Fourth Proportional to 146,225.08, 201,793.98 and 82,563.40

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Solution

The fourth proportional to 146,225.08, 201,793.98 and 82,563.40 is: 113,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,225.08 : 201,793.98 = 82,563.40 : x
  2. Step 2: Convert to fraction form
    146,225.08/201,793.98 = 82,563.40/x
  3. Step 3: Cross multiply
    146,225.08x = 201,793.98 × 82,563.40
  4. Step 4: Simplify right side
    146,225.08x = 16,660,797,088.33
  5. Step 5: Solve for x
    x = 16,660,797,088.33/146,225.08
  6. Step 6: Final answer
    x = 113,939.39

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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.