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Finding the Fourth Proportional to 226,336.48, 339,496.08 and 76,588

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Solution

The fourth proportional to 226,336.48, 339,496.08 and 76,588 is: 114,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,336.48 : 339,496.08 = 76,588 : x
  2. Step 2: Convert to fraction form
    226,336.48/339,496.08 = 76,588/x
  3. Step 3: Cross multiply
    226,336.48x = 339,496.08 × 76,588
  4. Step 4: Simplify right side
    226,336.48x = 26,001,325,775.04
  5. Step 5: Solve for x
    x = 26,001,325,775.04/226,336.48
  6. Step 6: Final answer
    x = 114,879.08

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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.