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Finding the Fourth Proportional to 242,554.30, 363,823.25 and 74,067.82

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Solution

The fourth proportional to 242,554.30, 363,823.25 and 74,067.82 is: 111,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,554.30 : 363,823.25 = 74,067.82 : x
  2. Step 2: Convert to fraction form
    242,554.30/363,823.25 = 74,067.82/x
  3. Step 3: Cross multiply
    242,554.30x = 363,823.25 × 74,067.82
  4. Step 4: Simplify right side
    242,554.30x = 26,947,593,712.92
  5. Step 5: Solve for x
    x = 26,947,593,712.92/242,554.30
  6. Step 6: Final answer
    x = 111,099.22

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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.