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Finding the Fourth Proportional to 115,233, 159,021.54 and 62,241

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Solution

The fourth proportional to 115,233, 159,021.54 and 62,241 is: 85,892.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,233 : 159,021.54 = 62,241 : x
  2. Step 2: Convert to fraction form
    115,233/159,021.54 = 62,241/x
  3. Step 3: Cross multiply
    115,233x = 159,021.54 × 62,241
  4. Step 4: Simplify right side
    115,233x = 9,897,659,671.14
  5. Step 5: Solve for x
    x = 9,897,659,671.14/115,233
  6. Step 6: Final answer
    x = 85,892.58

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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.