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Finding the Fourth Proportional to 227,288.53, 340,934.51 and 100,894.80

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Solution

The fourth proportional to 227,288.53, 340,934.51 and 100,894.80 is: 151,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,288.53 : 340,934.51 = 100,894.80 : x
  2. Step 2: Convert to fraction form
    227,288.53/340,934.51 = 100,894.80/x
  3. Step 3: Cross multiply
    227,288.53x = 340,934.51 × 100,894.80
  4. Step 4: Simplify right side
    227,288.53x = 34,398,517,383.96
  5. Step 5: Solve for x
    x = 34,398,517,383.96/227,288.53
  6. Step 6: Final answer
    x = 151,342.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.