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Finding the Fourth Proportional to 258,677.56, 356,971.38 and 145,500.28

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Solution

The fourth proportional to 258,677.56, 356,971.38 and 145,500.28 is: 200,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,677.56 : 356,971.38 = 145,500.28 : x
  2. Step 2: Convert to fraction form
    258,677.56/356,971.38 = 145,500.28/x
  3. Step 3: Cross multiply
    258,677.56x = 356,971.38 × 145,500.28
  4. Step 4: Simplify right side
    258,677.56x = 51,939,435,741.99
  5. Step 5: Solve for x
    x = 51,939,435,741.99/258,677.56
  6. Step 6: Final answer
    x = 200,788.33

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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.