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Finding the Fourth Proportional to 161,560.36, 242,363.58 and 50,761

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Solution

The fourth proportional to 161,560.36, 242,363.58 and 50,761 is: 76,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,560.36 : 242,363.58 = 50,761 : x
  2. Step 2: Convert to fraction form
    161,560.36/242,363.58 = 50,761/x
  3. Step 3: Cross multiply
    161,560.36x = 242,363.58 × 50,761
  4. Step 4: Simplify right side
    161,560.36x = 12,302,617,684.38
  5. Step 5: Solve for x
    x = 12,302,617,684.38/161,560.36
  6. Step 6: Final answer
    x = 76,148.74

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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.