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Finding the Fourth Proportional to 229,342.35, 343,877.25 and 87,198.03

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Solution

The fourth proportional to 229,342.35, 343,877.25 and 87,198.03 is: 130,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,342.35 : 343,877.25 = 87,198.03 : x
  2. Step 2: Convert to fraction form
    229,342.35/343,877.25 = 87,198.03/x
  3. Step 3: Cross multiply
    229,342.35x = 343,877.25 × 87,198.03
  4. Step 4: Simplify right side
    229,342.35x = 29,985,418,864.67
  5. Step 5: Solve for x
    x = 29,985,418,864.67/229,342.35
  6. Step 6: Final answer
    x = 130,745.23

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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.