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Finding the Fourth Proportional to 242,046.88, 363,072.11 and 84,275.08

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Solution

The fourth proportional to 242,046.88, 363,072.11 and 84,275.08 is: 126,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,046.88 : 363,072.11 = 84,275.08 : x
  2. Step 2: Convert to fraction form
    242,046.88/363,072.11 = 84,275.08/x
  3. Step 3: Cross multiply
    242,046.88x = 363,072.11 × 84,275.08
  4. Step 4: Simplify right side
    242,046.88x = 30,597,929,511.35
  5. Step 5: Solve for x
    x = 30,597,929,511.35/242,046.88
  6. Step 6: Final answer
    x = 126,413.24

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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.