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Finding the Fourth Proportional to 146,266.56, 219,049.92 and 138,918.24

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Solution

The fourth proportional to 146,266.56, 219,049.92 and 138,918.24 is: 208,045.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,266.56 : 219,049.92 = 138,918.24 : x
  2. Step 2: Convert to fraction form
    146,266.56/219,049.92 = 138,918.24/x
  3. Step 3: Cross multiply
    146,266.56x = 219,049.92 × 138,918.24
  4. Step 4: Simplify right side
    146,266.56x = 30,430,029,358.54
  5. Step 5: Solve for x
    x = 30,430,029,358.54/146,266.56
  6. Step 6: Final answer
    x = 208,045.02

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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.