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Finding the Fourth Proportional to 242,796.40, 364,021.80 and 92,978.80

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Solution

The fourth proportional to 242,796.40, 364,021.80 and 92,978.80 is: 139,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,796.40 : 364,021.80 = 92,978.80 : x
  2. Step 2: Convert to fraction form
    242,796.40/364,021.80 = 92,978.80/x
  3. Step 3: Cross multiply
    242,796.40x = 364,021.80 × 92,978.80
  4. Step 4: Simplify right side
    242,796.40x = 33,846,310,137.84
  5. Step 5: Solve for x
    x = 33,846,310,137.84/242,796.40
  6. Step 6: Final answer
    x = 139,402.03

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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.