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Finding the Fourth Proportional to 259,410.25, 357,991.62 and 146,233

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Solution

The fourth proportional to 259,410.25, 357,991.62 and 146,233 is: 201,804.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,410.25 : 357,991.62 = 146,233 : x
  2. Step 2: Convert to fraction form
    259,410.25/357,991.62 = 146,233/x
  3. Step 3: Cross multiply
    259,410.25x = 357,991.62 × 146,233
  4. Step 4: Simplify right side
    259,410.25x = 52,350,188,567.46
  5. Step 5: Solve for x
    x = 52,350,188,567.46/259,410.25
  6. Step 6: Final answer
    x = 201,804.63

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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.