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Finding the Fourth Proportional to 230,438.72, 317,974.25 and 128,459.25

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Solution

The fourth proportional to 230,438.72, 317,974.25 and 128,459.25 is: 177,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,438.72 : 317,974.25 = 128,459.25 : x
  2. Step 2: Convert to fraction form
    230,438.72/317,974.25 = 128,459.25/x
  3. Step 3: Cross multiply
    230,438.72x = 317,974.25 × 128,459.25
  4. Step 4: Simplify right side
    230,438.72x = 40,846,735,246.59
  5. Step 5: Solve for x
    x = 40,846,735,246.59/230,438.72
  6. Step 6: Final answer
    x = 177,256.39

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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.