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Finding the Fourth Proportional to 242,732.86, 335,090.21 and 188,164.48

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Solution

The fourth proportional to 242,732.86, 335,090.21 and 188,164.48 is: 259,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,732.86 : 335,090.21 = 188,164.48 : x
  2. Step 2: Convert to fraction form
    242,732.86/335,090.21 = 188,164.48/x
  3. Step 3: Cross multiply
    242,732.86x = 335,090.21 × 188,164.48
  4. Step 4: Simplify right side
    242,732.86x = 63,052,074,416.95
  5. Step 5: Solve for x
    x = 63,052,074,416.95/242,732.86
  6. Step 6: Final answer
    x = 259,759.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.