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Finding the Fourth Proportional to 259,406.38, 357,986.27 and 146,229.13

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Solution

The fourth proportional to 259,406.38, 357,986.27 and 146,229.13 is: 201,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,406.38 : 357,986.27 = 146,229.13 : x
  2. Step 2: Convert to fraction form
    259,406.38/357,986.27 = 146,229.13/x
  3. Step 3: Cross multiply
    259,406.38x = 357,986.27 × 146,229.13
  4. Step 4: Simplify right side
    259,406.38x = 52,348,018,292.97
  5. Step 5: Solve for x
    x = 52,348,018,292.97/259,406.38
  6. Step 6: Final answer
    x = 201,799.27

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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.