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Finding the Fourth Proportional to 231,783.68, 347,685.39 and 82,025.21

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Solution

The fourth proportional to 231,783.68, 347,685.39 and 82,025.21 is: 123,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,783.68 : 347,685.39 = 82,025.21 : x
  2. Step 2: Convert to fraction form
    231,783.68/347,685.39 = 82,025.21/x
  3. Step 3: Cross multiply
    231,783.68x = 347,685.39 × 82,025.21
  4. Step 4: Simplify right side
    231,783.68x = 28,518,965,390.26
  5. Step 5: Solve for x
    x = 28,518,965,390.26/231,783.68
  6. Step 6: Final answer
    x = 123,041.30

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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.