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Finding the Fourth Proportional to 221,002.26, 304,982.91 and 120,400.26

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Solution

The fourth proportional to 221,002.26, 304,982.91 and 120,400.26 is: 166,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,002.26 : 304,982.91 = 120,400.26 : x
  2. Step 2: Convert to fraction form
    221,002.26/304,982.91 = 120,400.26/x
  3. Step 3: Cross multiply
    221,002.26x = 304,982.91 × 120,400.26
  4. Step 4: Simplify right side
    221,002.26x = 36,720,021,659.56
  5. Step 5: Solve for x
    x = 36,720,021,659.56/221,002.26
  6. Step 6: Final answer
    x = 166,152.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.