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Finding the Fourth Proportional to 257,107.14, 354,828.33 and 189,433.26

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Solution

The fourth proportional to 257,107.14, 354,828.33 and 189,433.26 is: 261,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,107.14 : 354,828.33 = 189,433.26 : x
  2. Step 2: Convert to fraction form
    257,107.14/354,828.33 = 189,433.26/x
  3. Step 3: Cross multiply
    257,107.14x = 354,828.33 × 189,433.26
  4. Step 4: Simplify right side
    257,107.14x = 67,216,287,292.26
  5. Step 5: Solve for x
    x = 67,216,287,292.26/257,107.14
  6. Step 6: Final answer
    x = 261,432.99

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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.