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Finding the Fourth Proportional to 161,748.92, 242,649.78 and 50,915

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Solution

The fourth proportional to 161,748.92, 242,649.78 and 50,915 is: 76,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,748.92 : 242,649.78 = 50,915 : x
  2. Step 2: Convert to fraction form
    161,748.92/242,649.78 = 50,915/x
  3. Step 3: Cross multiply
    161,748.92x = 242,649.78 × 50,915
  4. Step 4: Simplify right side
    161,748.92x = 12,354,513,548.70
  5. Step 5: Solve for x
    x = 12,354,513,548.70/161,748.92
  6. Step 6: Final answer
    x = 76,380.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.