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Finding the Fourth Proportional to 259,440.40, 357,986.56 and 146,241.28

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Solution

The fourth proportional to 259,440.40, 357,986.56 and 146,241.28 is: 201,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,440.40 : 357,986.56 = 146,241.28 : x
  2. Step 2: Convert to fraction form
    259,440.40/357,986.56 = 146,241.28/x
  3. Step 3: Cross multiply
    259,440.40x = 357,986.56 × 146,241.28
  4. Step 4: Simplify right side
    259,440.40x = 52,352,412,757.20
  5. Step 5: Solve for x
    x = 52,352,412,757.20/259,440.40
  6. Step 6: Final answer
    x = 201,789.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.