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Finding the Fourth Proportional to 146,022.44, 219,063.20 and 61,782.44

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Solution

The fourth proportional to 146,022.44, 219,063.20 and 61,782.44 is: 92,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,022.44 : 219,063.20 = 61,782.44 : x
  2. Step 2: Convert to fraction form
    146,022.44/219,063.20 = 61,782.44/x
  3. Step 3: Cross multiply
    146,022.44x = 219,063.20 × 61,782.44
  4. Step 4: Simplify right side
    146,022.44x = 13,534,259,010.21
  5. Step 5: Solve for x
    x = 13,534,259,010.21/146,022.44
  6. Step 6: Final answer
    x = 92,686.16

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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.