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Finding the Fourth Proportional to 258,209.26, 356,396.45 and 145,068.46

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Solution

The fourth proportional to 258,209.26, 356,396.45 and 145,068.46 is: 200,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,209.26 : 356,396.45 = 145,068.46 : x
  2. Step 2: Convert to fraction form
    258,209.26/356,396.45 = 145,068.46/x
  3. Step 3: Cross multiply
    258,209.26x = 356,396.45 × 145,068.46
  4. Step 4: Simplify right side
    258,209.26x = 51,701,884,150.97
  5. Step 5: Solve for x
    x = 51,701,884,150.97/258,209.26
  6. Step 6: Final answer
    x = 200,232.49

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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.