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Finding the Fourth Proportional to 242,101, 363,209.82 and 75,889

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Solution

The fourth proportional to 242,101, 363,209.82 and 75,889 is: 113,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,101 : 363,209.82 = 75,889 : x
  2. Step 2: Convert to fraction form
    242,101/363,209.82 = 75,889/x
  3. Step 3: Cross multiply
    242,101x = 363,209.82 × 75,889
  4. Step 4: Simplify right side
    242,101x = 27,563,630,029.98
  5. Step 5: Solve for x
    x = 27,563,630,029.98/242,101
  6. Step 6: Final answer
    x = 113,851.78

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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.