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Finding the Fourth Proportional to 242,950.23, 364,269.23 and 100,893.49

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Solution

The fourth proportional to 242,950.23, 364,269.23 and 100,893.49 is: 151,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,950.23 : 364,269.23 = 100,893.49 : x
  2. Step 2: Convert to fraction form
    242,950.23/364,269.23 = 100,893.49/x
  3. Step 3: Cross multiply
    242,950.23x = 364,269.23 × 100,893.49
  4. Step 4: Simplify right side
    242,950.23x = 36,752,394,128.05
  5. Step 5: Solve for x
    x = 36,752,394,128.05/242,950.23
  6. Step 6: Final answer
    x = 151,275.41

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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.