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Finding the Fourth Proportional to 306,642.33, 459,931.14 and 82,025.44

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Solution

The fourth proportional to 306,642.33, 459,931.14 and 82,025.44 is: 123,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,642.33 : 459,931.14 = 82,025.44 : x
  2. Step 2: Convert to fraction form
    306,642.33/459,931.14 = 82,025.44/x
  3. Step 3: Cross multiply
    306,642.33x = 459,931.14 × 82,025.44
  4. Step 4: Simplify right side
    306,642.33x = 37,726,052,978.37
  5. Step 5: Solve for x
    x = 37,726,052,978.37/306,642.33
  6. Step 6: Final answer
    x = 123,029.50

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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.