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Finding the Fourth Proportional to 207,784.40, 311,676.60 and 83,214.80

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Solution

The fourth proportional to 207,784.40, 311,676.60 and 83,214.80 is: 124,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,784.40 : 311,676.60 = 83,214.80 : x
  2. Step 2: Convert to fraction form
    207,784.40/311,676.60 = 83,214.80/x
  3. Step 3: Cross multiply
    207,784.40x = 311,676.60 × 83,214.80
  4. Step 4: Simplify right side
    207,784.40x = 25,936,105,933.68
  5. Step 5: Solve for x
    x = 25,936,105,933.68/207,784.40
  6. Step 6: Final answer
    x = 124,822.20

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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.