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Finding the Fourth Proportional to 161,774.82, 242,662.87 and 49,454.62

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Solution

The fourth proportional to 161,774.82, 242,662.87 and 49,454.62 is: 74,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,774.82 : 242,662.87 = 49,454.62 : x
  2. Step 2: Convert to fraction form
    161,774.82/242,662.87 = 49,454.62/x
  3. Step 3: Cross multiply
    161,774.82x = 242,662.87 × 49,454.62
  4. Step 4: Simplify right side
    161,774.82x = 12,000,800,023.96
  5. Step 5: Solve for x
    x = 12,000,800,023.96/161,774.82
  6. Step 6: Final answer
    x = 74,182.13

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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.