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Finding the Fourth Proportional to 146,218.26, 219,408.49 and 71,339.02

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Solution

The fourth proportional to 146,218.26, 219,408.49 and 71,339.02 is: 107,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218.26 : 219,408.49 = 71,339.02 : x
  2. Step 2: Convert to fraction form
    146,218.26/219,408.49 = 71,339.02/x
  3. Step 3: Cross multiply
    146,218.26x = 219,408.49 × 71,339.02
  4. Step 4: Simplify right side
    146,218.26x = 15,652,387,029.82
  5. Step 5: Solve for x
    x = 15,652,387,029.82/146,218.26
  6. Step 6: Final answer
    x = 107,048.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.