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Finding the Fourth Proportional to 268,456.75, 370,324.51 and 166,447.78

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Solution

The fourth proportional to 268,456.75, 370,324.51 and 166,447.78 is: 229,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,456.75 : 370,324.51 = 166,447.78 : x
  2. Step 2: Convert to fraction form
    268,456.75/370,324.51 = 166,447.78/x
  3. Step 3: Cross multiply
    268,456.75x = 370,324.51 × 166,447.78
  4. Step 4: Simplify right side
    268,456.75x = 61,639,692,569.09
  5. Step 5: Solve for x
    x = 61,639,692,569.09/268,456.75
  6. Step 6: Final answer
    x = 229,607.53

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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.