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Finding the Fourth Proportional to 259,735.72, 358,435.56 and 146,569

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Solution

The fourth proportional to 259,735.72, 358,435.56 and 146,569 is: 202,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,735.72 : 358,435.56 = 146,569 : x
  2. Step 2: Convert to fraction form
    259,735.72/358,435.56 = 146,569/x
  3. Step 3: Cross multiply
    259,735.72x = 358,435.56 × 146,569
  4. Step 4: Simplify right side
    259,735.72x = 52,535,541,593.64
  5. Step 5: Solve for x
    x = 52,535,541,593.64/259,735.72
  6. Step 6: Final answer
    x = 202,265.37

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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.