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Finding the Fourth Proportional to 258,637.50, 356,919.75 and 145,462.68

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Solution

The fourth proportional to 258,637.50, 356,919.75 and 145,462.68 is: 200,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,637.50 : 356,919.75 = 145,462.68 : x
  2. Step 2: Convert to fraction form
    258,637.50/356,919.75 = 145,462.68/x
  3. Step 3: Cross multiply
    258,637.50x = 356,919.75 × 145,462.68
  4. Step 4: Simplify right side
    258,637.50x = 51,918,503,379.93
  5. Step 5: Solve for x
    x = 51,918,503,379.93/258,637.50
  6. Step 6: Final answer
    x = 200,738.50

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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.