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Finding the Fourth Proportional to 257,215.28, 354,839.14 and 166,600.38

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Solution

The fourth proportional to 257,215.28, 354,839.14 and 166,600.38 is: 229,832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,215.28 : 354,839.14 = 166,600.38 : x
  2. Step 2: Convert to fraction form
    257,215.28/354,839.14 = 166,600.38/x
  3. Step 3: Cross multiply
    257,215.28x = 354,839.14 × 166,600.38
  4. Step 4: Simplify right side
    257,215.28x = 59,116,333,372.18
  5. Step 5: Solve for x
    x = 59,116,333,372.18/257,215.28
  6. Step 6: Final answer
    x = 229,832.12

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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.