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Finding the Fourth Proportional to 146,041.40, 219,062.10 and 82,837.10

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Solution

The fourth proportional to 146,041.40, 219,062.10 and 82,837.10 is: 124,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,041.40 : 219,062.10 = 82,837.10 : x
  2. Step 2: Convert to fraction form
    146,041.40/219,062.10 = 82,837.10/x
  3. Step 3: Cross multiply
    146,041.40x = 219,062.10 × 82,837.10
  4. Step 4: Simplify right side
    146,041.40x = 18,146,469,083.91
  5. Step 5: Solve for x
    x = 18,146,469,083.91/146,041.40
  6. Step 6: Final answer
    x = 124,255.65

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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.