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Finding the Fourth Proportional to 230,231.94, 317,729.70 and 128,257.38

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Solution

The fourth proportional to 230,231.94, 317,729.70 and 128,257.38 is: 177,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,231.94 : 317,729.70 = 128,257.38 : x
  2. Step 2: Convert to fraction form
    230,231.94/317,729.70 = 128,257.38/x
  3. Step 3: Cross multiply
    230,231.94x = 317,729.70 × 128,257.38
  4. Step 4: Simplify right side
    230,231.94x = 40,751,178,870.19
  5. Step 5: Solve for x
    x = 40,751,178,870.19/230,231.94
  6. Step 6: Final answer
    x = 177,000.55

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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.