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Finding the Fourth Proportional to 257,098.97, 354,754.40 and 161,538

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Solution

The fourth proportional to 257,098.97, 354,754.40 and 161,538 is: 222,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,098.97 : 354,754.40 = 161,538 : x
  2. Step 2: Convert to fraction form
    257,098.97/354,754.40 = 161,538/x
  3. Step 3: Cross multiply
    257,098.97x = 354,754.40 × 161,538
  4. Step 4: Simplify right side
    257,098.97x = 57,306,315,459.51
  5. Step 5: Solve for x
    x = 57,306,315,459.51/257,098.97
  6. Step 6: Final answer
    x = 222,895.94

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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.