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Finding the Fourth Proportional to 258,487.68, 356,744.88 and 145,308

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Solution

The fourth proportional to 258,487.68, 356,744.88 and 145,308 is: 200,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,487.68 : 356,744.88 = 145,308 : x
  2. Step 2: Convert to fraction form
    258,487.68/356,744.88 = 145,308/x
  3. Step 3: Cross multiply
    258,487.68x = 356,744.88 × 145,308
  4. Step 4: Simplify right side
    258,487.68x = 51,837,885,023.04
  5. Step 5: Solve for x
    x = 51,837,885,023.04/258,487.68
  6. Step 6: Final answer
    x = 200,542.96

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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.