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Finding the Fourth Proportional to 161,451.82, 242,149.11 and 49,104.82

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Solution

The fourth proportional to 161,451.82, 242,149.11 and 49,104.82 is: 73,648.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,451.82 : 242,149.11 = 49,104.82 : x
  2. Step 2: Convert to fraction form
    161,451.82/242,149.11 = 49,104.82/x
  3. Step 3: Cross multiply
    161,451.82x = 242,149.11 × 49,104.82
  4. Step 4: Simplify right side
    161,451.82x = 11,890,688,459.71
  5. Step 5: Solve for x
    x = 11,890,688,459.71/161,451.82
  6. Step 6: Final answer
    x = 73,648.53

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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.