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Finding the Fourth Proportional to 230,308.38, 317,822.33 and 128,338.16

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Solution

The fourth proportional to 230,308.38, 317,822.33 and 128,338.16 is: 177,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,308.38 : 317,822.33 = 128,338.16 : x
  2. Step 2: Convert to fraction form
    230,308.38/317,822.33 = 128,338.16/x
  3. Step 3: Cross multiply
    230,308.38x = 317,822.33 × 128,338.16
  4. Step 4: Simplify right side
    230,308.38x = 40,788,731,770.85
  5. Step 5: Solve for x
    x = 40,788,731,770.85/230,308.38
  6. Step 6: Final answer
    x = 177,104.85

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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.