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Finding the Fourth Proportional to 161,397, 242,134.38 and 50,589

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Solution

The fourth proportional to 161,397, 242,134.38 and 50,589 is: 75,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,397 : 242,134.38 = 50,589 : x
  2. Step 2: Convert to fraction form
    161,397/242,134.38 = 50,589/x
  3. Step 3: Cross multiply
    161,397x = 242,134.38 × 50,589
  4. Step 4: Simplify right side
    161,397x = 12,249,336,149.82
  5. Step 5: Solve for x
    x = 12,249,336,149.82/161,397
  6. Step 6: Final answer
    x = 75,895.69

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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.