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Finding the Fourth Proportional to 311,080.80, 466,707.60 and 133,672.80

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Solution

The fourth proportional to 311,080.80, 466,707.60 and 133,672.80 is: 200,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,080.80 : 466,707.60 = 133,672.80 : x
  2. Step 2: Convert to fraction form
    311,080.80/466,707.60 = 133,672.80/x
  3. Step 3: Cross multiply
    311,080.80x = 466,707.60 × 133,672.80
  4. Step 4: Simplify right side
    311,080.80x = 62,386,111,673.28
  5. Step 5: Solve for x
    x = 62,386,111,673.28/311,080.80
  6. Step 6: Final answer
    x = 200,546.33

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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.