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Finding the Fourth Proportional to 161,884.62, 242,768.61 and 68,397.66

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Solution

The fourth proportional to 161,884.62, 242,768.61 and 68,397.66 is: 102,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,884.62 : 242,768.61 = 68,397.66 : x
  2. Step 2: Convert to fraction form
    161,884.62/242,768.61 = 68,397.66/x
  3. Step 3: Cross multiply
    161,884.62x = 242,768.61 × 68,397.66
  4. Step 4: Simplify right side
    161,884.62x = 16,604,804,845.45
  5. Step 5: Solve for x
    x = 16,604,804,845.45/161,884.62
  6. Step 6: Final answer
    x = 102,571.85

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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.