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Finding the Fourth Proportional to 221,264.82, 331,897.29 and 55,052.82

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Solution

The fourth proportional to 221,264.82, 331,897.29 and 55,052.82 is: 82,579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,264.82 : 331,897.29 = 55,052.82 : x
  2. Step 2: Convert to fraction form
    221,264.82/331,897.29 = 55,052.82/x
  3. Step 3: Cross multiply
    221,264.82x = 331,897.29 × 55,052.82
  4. Step 4: Simplify right side
    221,264.82x = 18,271,881,764.86
  5. Step 5: Solve for x
    x = 18,271,881,764.86/221,264.82
  6. Step 6: Final answer
    x = 82,579.24

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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.