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Finding the Fourth Proportional to 207,410.80, 311,116.20 and 57,650.80

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Solution

The fourth proportional to 207,410.80, 311,116.20 and 57,650.80 is: 86,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,410.80 : 311,116.20 = 57,650.80 : x
  2. Step 2: Convert to fraction form
    207,410.80/311,116.20 = 57,650.80/x
  3. Step 3: Cross multiply
    207,410.80x = 311,116.20 × 57,650.80
  4. Step 4: Simplify right side
    207,410.80x = 17,936,097,822.96
  5. Step 5: Solve for x
    x = 17,936,097,822.96/207,410.80
  6. Step 6: Final answer
    x = 86,476.20

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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.