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Finding the Fourth Proportional to 161,578.39, 242,255.14 and 71,572.24

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Solution

The fourth proportional to 161,578.39, 242,255.14 and 71,572.24 is: 107,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,578.39 : 242,255.14 = 71,572.24 : x
  2. Step 2: Convert to fraction form
    161,578.39/242,255.14 = 71,572.24/x
  3. Step 3: Cross multiply
    161,578.39x = 242,255.14 × 71,572.24
  4. Step 4: Simplify right side
    161,578.39x = 17,338,743,021.31
  5. Step 5: Solve for x
    x = 17,338,743,021.31/161,578.39
  6. Step 6: Final answer
    x = 107,308.55

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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.