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Finding the Fourth Proportional to 242,694.29, 363,755.51 and 109,418.51

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Solution

The fourth proportional to 242,694.29, 363,755.51 and 109,418.51 is: 163,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,694.29 : 363,755.51 = 109,418.51 : x
  2. Step 2: Convert to fraction form
    242,694.29/363,755.51 = 109,418.51/x
  3. Step 3: Cross multiply
    242,694.29x = 363,755.51 × 109,418.51
  4. Step 4: Simplify right side
    242,694.29x = 39,801,586,681.11
  5. Step 5: Solve for x
    x = 39,801,586,681.11/242,694.29
  6. Step 6: Final answer
    x = 163,998.86

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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.