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Finding the Fourth Proportional to 259,233, 357,741.54 and 140,001

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Solution

The fourth proportional to 259,233, 357,741.54 and 140,001 is: 193,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,233 : 357,741.54 = 140,001 : x
  2. Step 2: Convert to fraction form
    259,233/357,741.54 = 140,001/x
  3. Step 3: Cross multiply
    259,233x = 357,741.54 × 140,001
  4. Step 4: Simplify right side
    259,233x = 50,084,173,341.54
  5. Step 5: Solve for x
    x = 50,084,173,341.54/259,233
  6. Step 6: Final answer
    x = 193,201.38

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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.