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Finding the Fourth Proportional to 242,546.91, 363,873.60 and 71,755.26

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Solution

The fourth proportional to 242,546.91, 363,873.60 and 71,755.26 is: 107,648.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,546.91 : 363,873.60 = 71,755.26 : x
  2. Step 2: Convert to fraction form
    242,546.91/363,873.60 = 71,755.26/x
  3. Step 3: Cross multiply
    242,546.91x = 363,873.60 × 71,755.26
  4. Step 4: Simplify right side
    242,546.91x = 26,109,844,775.14
  5. Step 5: Solve for x
    x = 26,109,844,775.14/242,546.91
  6. Step 6: Final answer
    x = 107,648.64

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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.