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Finding the Fourth Proportional to 242,215.83, 363,217.83 and 122,198.94

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Solution

The fourth proportional to 242,215.83, 363,217.83 and 122,198.94 is: 183,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,215.83 : 363,217.83 = 122,198.94 : x
  2. Step 2: Convert to fraction form
    242,215.83/363,217.83 = 122,198.94/x
  3. Step 3: Cross multiply
    242,215.83x = 363,217.83 × 122,198.94
  4. Step 4: Simplify right side
    242,215.83x = 44,384,833,815.10
  5. Step 5: Solve for x
    x = 44,384,833,815.10/242,215.83
  6. Step 6: Final answer
    x = 183,244.98

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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.