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Finding the Fourth Proportional to 161,978.44, 242,969.29 and 56,799.94

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Solution

The fourth proportional to 161,978.44, 242,969.29 and 56,799.94 is: 85,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,978.44 : 242,969.29 = 56,799.94 : x
  2. Step 2: Convert to fraction form
    161,978.44/242,969.29 = 56,799.94/x
  3. Step 3: Cross multiply
    161,978.44x = 242,969.29 × 56,799.94
  4. Step 4: Simplify right side
    161,978.44x = 13,800,641,093.84
  5. Step 5: Solve for x
    x = 13,800,641,093.84/161,978.44
  6. Step 6: Final answer
    x = 85,200.48

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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.