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Finding the Fourth Proportional to 259,410.63, 357,992.13 and 146,233.38

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Solution

The fourth proportional to 259,410.63, 357,992.13 and 146,233.38 is: 201,805.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,410.63 : 357,992.13 = 146,233.38 : x
  2. Step 2: Convert to fraction form
    259,410.63/357,992.13 = 146,233.38/x
  3. Step 3: Cross multiply
    259,410.63x = 357,992.13 × 146,233.38
  4. Step 4: Simplify right side
    259,410.63x = 52,350,399,183.30
  5. Step 5: Solve for x
    x = 52,350,399,183.30/259,410.63
  6. Step 6: Final answer
    x = 201,805.14

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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.