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Finding the Fourth Proportional to 242,420.82, 363,135.48 and 197,601.90

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Solution

The fourth proportional to 242,420.82, 363,135.48 and 197,601.90 is: 295,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,420.82 : 363,135.48 = 197,601.90 : x
  2. Step 2: Convert to fraction form
    242,420.82/363,135.48 = 197,601.90/x
  3. Step 3: Cross multiply
    242,420.82x = 363,135.48 × 197,601.90
  4. Step 4: Simplify right side
    242,420.82x = 71,756,260,805.41
  5. Step 5: Solve for x
    x = 71,756,260,805.41/242,420.82
  6. Step 6: Final answer
    x = 295,998.75

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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.